323:
3810:
617:
3894:
2651:
38:
3858:
3882:
3834:
3870:
3846:
3822:
467:
Finally, it may be the case that more than one of these factors has come into play. According to that theory, the number is approximately 365 because of the apparent movement of the sun against the celestial sphere, and that it was rounded to 360 for some of the mathematical reasons cited above.
682:, based on powers of ten, there was an attempt to replace degrees by decimal "degrees" in France and nearby countries, where the number in a right angle is equal to 100 gon with 400 gon in a full circle (1° =
334:
The original motivation for choosing the degree as a unit of rotations and angles is unknown. One theory states that it is related to the fact that 360 is approximately the number of days in a year. Ancient
636:
have simpler and more "natural" properties when their arguments are expressed in radians. These considerations outweigh the convenient divisibility of the number 360. One complete
3297:
2705:
3929:
3279:
776:
was later adopted for the new unit. Although this idea of metrification was abandoned by
Napoleon, grades continued to be used in several fields and many
449:). Furthermore, it is divisible by every number from 1 to 10 except 7. This property has many useful applications, such as dividing the world into 24
848:, where an equilateral chord was divided into tenths to give a circle of 600 units. This may be seen on a lining plane (an early device for aiming
476:
For many practical purposes, a degree is a small enough angle that whole degrees provide sufficient precision. When this is not the case, as in
2039:
3272:
2626:
3787:
2139:
1982:
446:
2687:
2263:
1973:
3265:
2093:
2054:
386:
of a circle. A chord of length equal to the radius made a natural base quantity. One sixtieth of this, using their standard
2222:
2342:
1866:
The divisors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.
588:, etc. Hence, the modern symbols for the minute and second of arc, and the word "second" also refer to this system.
3241:
2532:
2271:
289:
62:
343:
path over the course of the year, seems to advance in its path by approximately one degree each day. Some ancient
3924:
2636:
2214:
549:
Maritime charts are marked in degrees and decimal minutes to facilitate measurement; 1 minute of latitude is 1
57:
3914:
3288:
2351:
2680:
1817:
481:
439:, making it one of only 7 numbers such that no number less than twice as much has more divisors (sequence
3246:
2081:
2078:
Euclidis
Elementa, editit et Latine interpretatus est I. L. Heiberg, in aedibus B. G. Teubneri 1883–1885
568:
and other ancient astronomers, but is rarely used today. These subdivisions were denoted by writing the
3800:
2121:
2085:
2043:
3782:
3236:
2590:
2313:
797:, which is most used in military applications, has at least three specific variants, ranging from
3919:
2673:
2631:
432:
371:
2125:
322:
3675:
3112:
2335:
633:
2242:
3311:
2724:
1880:
845:
777:
653:
355:, used 360 days for a year. The use of a calendar with 360 days may be related to the use of
3751:
3701:
3128:
2195:
2071:
1842:
507:
393:
375:
363:
8:
3886:
3767:
3741:
3726:
3229:
3183:
3153:
2616:
2176:
2111:
1807:
352:
263:
553:. The example above would be given as 40° 11.25′ (commonly written as 11′25 or 11′.25).
3874:
3862:
3814:
3777:
3772:
3224:
3214:
2115:
1812:
769:
755:
416:, and Hipparchus were the first Greeks known to divide the circle in 360 degrees of 60
42:
One degree (shown in red) and eighty nine degrees (shown in blue). The lined area is a
3809:
2774:
2729:
2654:
2540:
2328:
2267:
2218:
2089:
2050:
1986:
3838:
3826:
751:
383:
366:
as the basic unit, and further subdivided the latter into 60 parts following their
362:
Another theory is that the
Babylonians subdivided the circle using the angle of an
348:
327:
3670:
3570:
3168:
2407:
2100:
1951:
1923:
1893:
747:
731:
672:
637:
585:
493:
401:
379:
330:(red). One sixtieth of this arc is a degree. Six such chords complete the circle.
270:
3257:
2301:
546:. Additional precision can be provided using decimal fractions of an arcsecond.
3898:
3746:
3575:
3198:
3173:
3066:
3025:
2975:
2696:
2492:
2045:
Le Système international d'unités (SI) / The
International System of Units (SI)
853:
573:
539:
535:
611:
3908:
3649:
3611:
3545:
3219:
3178:
3143:
3081:
2995:
2799:
2794:
2621:
2545:
2482:
2472:
1876:
1837:
1832:
849:
679:
569:
550:
259:
2015:
1945:
1917:
404:
to exploit
Babylonian astronomical knowledge and techniques systematically.
3850:
3721:
3696:
3606:
3591:
3525:
3361:
3346:
3158:
3076:
3061:
3056:
3041:
3000:
2965:
2939:
2830:
2784:
2769:
2565:
2522:
2507:
2462:
2442:
2359:
1827:
865:
700:
616:
581:
577:
421:
20:
2291:
3736:
3716:
3596:
3530:
3504:
3463:
3399:
3389:
3384:
3379:
3331:
3326:
3321:
3193:
3148:
3071:
3046:
2980:
2970:
2919:
2845:
2835:
2825:
2820:
2815:
2749:
2744:
2739:
2437:
2392:
2309:
818:
794:
625:
591:
504:
425:
387:
367:
356:
336:
285:
176:
112:
43:
632:
rather than degrees. This is for a variety of reasons; for example, the
431:
Another motivation for choosing the number 360 may have been that it is
3731:
3711:
3680:
3654:
3499:
3468:
3458:
3437:
3432:
3427:
3422:
3341:
3163:
3138:
3107:
2924:
2914:
2888:
2883:
2873:
2868:
2764:
417:
413:
409:
405:
397:
210:
3893:
564:, etc., which continues the sexagesimal unit subdivision, was used by
3626:
3550:
3509:
3086:
2502:
2417:
2238:
1847:
530:
524:
489:
477:
454:
450:
3621:
3453:
3091:
3005:
2960:
2909:
2382:
2158:
565:
485:
344:
340:
3644:
3351:
3188:
2779:
2665:
2570:
2555:
2497:
2427:
2422:
2372:
1822:
1802:
880:
628:
work beyond practical geometry, angles are typically measured in
436:
277:
37:
708:
in some northern
European countries (meaning a standard degree,
3540:
3483:
2990:
2944:
2878:
2759:
2585:
2487:
2397:
2377:
2367:
2067:
870:
629:
281:
143:
3601:
3478:
3051:
2934:
2893:
2600:
2595:
2580:
2457:
2452:
2447:
2432:
2387:
266:
72:
2300:
Gray, Meghan; Merrifield, Michael; Moriarty, Philip (2009).
2198:[Divisibility highly composite numbers] (in German).
3535:
3473:
3394:
3356:
3336:
3316:
2985:
2929:
2840:
2789:
2754:
2734:
2719:
2575:
2517:
2512:
2320:
675:(corresponding to a cycle or revolution) is equal to 360°.
458:
441:
3845:
1892:
These new and decimal "degrees" must not be confused with
3616:
2550:
2477:
2467:
790:) were used with French artillery sights in World War I.
461:
510:
subdivisions can be used: one degree is divided into 60
642:
2299:
3798:
2163:
572:
for the number of sixtieths in superscript: 1 for a "
2247:. Translated by Sachau, C. Edward. pp. 147–149.
3930:
Customary units of measurement in the United States
16:
Unit of plane angle where a full circle equals 360°
3287:
3906:
518:. Use of degrees-minutes-seconds is also called
339:noticed that the sun, which follows through the
1926:. December 1994 . HP 00048-90126, (00048-90104)
763:
2231:
2202:
620:A chart to convert between degrees and radians
3273:
2681:
2336:
734:(whereas the "old" degree was referred to as
1975:HP Prime Graphing Calculator User Guide (UG)
1947:HP 50g graphing calculator user's guide (UG)
741:
735:
725:
693:
492:), degree measurements may be written using
19:For other units of angular measurement, see
2627:Historical definitions of the SI base units
1985:October 2014. HP 788996-001. Archived from
1875:Contrast this with the relatively unwieldy
3280:
3266:
2688:
2674:
2343:
2329:
2196:"Teilbarkeit hochzusammengesetzter Zahlen"
1966:
704:. Due to confusion with the existing term
652:radians, or equivalently, the degree is a
36:
2237:
2208:
2138:
2040:Bureau international des poids et mesures
1983:Hewlett-Packard Development Company, L.P.
852:artillery) dating from about 1900 in the
2264:Macmillan International Higher Education
615:
428:system dividing a circle into 60 parts.
321:
2187:
1938:
280:—the SI unit of angular measure is the
3907:
2066:
1919:HP 48G Series – User's Guide (UG)
1910:
522:. These subdivisions, also called the
3261:
2669:
2324:
2257:
2110:
2084:; Fitzpatrick, Richard (2 ed.).
2013:
1355:
1349:
296:radians, one degree is equivalent to
3298:Comparison with imperial unit system
2009:
2007:
724:of a turn), the new unit was called
605:
457:, to correlate with the established
453:, each of which is nominally 15° of
2706:Comparison with US customary system
2193:
2181:Hipparchus and Babylonian astronomy
2156:
817:. It is approximately equal to one
13:
2695:
2175:
844:of a revolution originated in the
400:seem to have been among the first
292:. Because a full rotation equals 2
14:
3941:
3788:Foot–pound–second system of units
2284:
2244:The Chronology of Ancient Nations
2004:
772:. To end the confusion, the name
594:can also be applied as in, e.g.,
3892:
3880:
3868:
3856:
3844:
3832:
3820:
3808:
2650:
2649:
1954:. 1 April 2006. HP F2229AA-90006
2251:
2211:RYA day skipper handbook - sail
2169:
1886:
1869:
1860:
542:(″) respectively. For example,
503:Alternatively, the traditional
471:
3242:Foot–pound–second system (FPS)
2637:System of units of measurement
2215:The Royal Yachting Association
2150:
2132:
2117:The Growth of Physical Science
2104:
2060:
2033:
1883:for every number from 1 to 10.
202: mrad ≈ 17.45.. mrad
168: rad ≈ 0.01745.. rad
1:
3289:United States customary units
2292:"Degrees as an angle measure"
2073:Euclid's Elements of Geometry
1903:
822:
648:radians, so 180° is equal to
326:A circle with an equilateral
2350:
2296:, with interactive animation
1818:Geographic coordinate system
860:Conversion of common angles
284:—but it is mentioned in the
7:
3247:Twenty-foot equivalent unit
1796:
576:" (minute of arc), 1 for a
10:
3946:
3681:Kilopounds per square inch
2140:Murnaghan, Francis Dominic
2122:Cambridge University Press
2086:Princeton University Press
780:support them. Decigrades (
678:With the invention of the
609:
500:); for example, 40.1875°.
317:
18:
3783:English Engineering Units
3760:
3689:
3663:
3637:
3584:
3563:
3518:
3492:
3446:
3415:
3408:
3372:
3304:
3295:
3237:English Engineering units
3207:
3121:
3100:
3034:
3018:
2953:
2902:
2861:
2854:
2808:
2712:
2703:
2645:
2609:
2531:
2406:
2358:
2258:Flegg, Graham H. (1989).
514:, and one minute into 60
390:divisions, was a degree.
382:successors, was based on
262:), is a measurement of a
206:
172:
139:
108:
104:
86:
78:
68:
56:
51:
35:
30:
3690:Other units and measures
3122:Other units and measures
2591:minute and second of arc
2314:University of Nottingham
2260:Numbers Through the Ages
2209:Hopkinson, Sara (2012).
1853:
2632:2019 revision of the SI
634:trigonometric functions
534:, are represented by a
3925:Mathematical constants
3676:Pounds per square inch
3113:Pounds per square inch
778:scientific calculators
764:
742:
736:
726:
694:
692:gon). This was called
621:
544:40.1875° = 40° 11′ 15″
482:geographic coordinates
376:Babylonian astronomers
331:
254:), usually denoted by
3312:Thousandth of an inch
2725:Thousandth of an inch
2082:Heiberg, Johan Ludvig
2080:]. Translated by
2020:mathworld.wolfram.com
1881:least common multiple
856:Museum of Artillery.
846:imperial Russian army
654:mathematical constant
619:
372:earliest trigonometry
325:
3915:Units of plane angle
3752:Ton of refrigeration
3702:British thermal unit
3129:British thermal unit
2533:Other accepted units
2266:. pp. 156–157.
2177:Toomer, Gerald James
2112:Jeans, James Hopwood
2057:, c. 4, pp. 145–146.
640:(360°) is equal to 2
556:The older system of
394:Aristarchus of Samos
370:numeric system. The
364:equilateral triangle
63:Non-SI accepted unit
3768:American wire gauge
3742:Pound-foot (torque)
3727:Foot-pound (energy)
2617:Conversion of units
2302:"° Degree of Angle"
2014:Weisstein, Eric W.
1992:on 3 September 2014
1808:Degree of curvature
861:
834:). A mil measuring
353:Babylonian calendar
99:... is equal to ...
52:General information
3778:Body jewelry sizes
3773:Avoirdupois system
3215:Avoirdupois system
2410:with special names
2070:(2008). "Book 4".
1813:Degrees per second
859:
622:
332:
216:
208:
182:
174:
149:
141:
118:
110:
3796:
3795:
3559:
3558:
3255:
3254:
3014:
3013:
2663:
2662:
2541:astronomical unit
2194:Brefeld, Werner.
2157:Rawlins, Dennis.
2144:Analytic Geometry
2095:978-0-6151-7984-1
2055:978-92-822-2272-0
1794:
1793:
606:Alternative units
433:readily divisible
236:
235:
87:Conversions
3937:
3897:
3896:
3885:
3884:
3883:
3873:
3872:
3871:
3861:
3860:
3859:
3849:
3848:
3837:
3836:
3835:
3825:
3824:
3823:
3813:
3812:
3804:
3413:
3412:
3282:
3275:
3268:
3259:
3258:
2859:
2858:
2690:
2683:
2676:
2667:
2666:
2653:
2652:
2345:
2338:
2331:
2322:
2321:
2317:
2295:
2278:
2277:
2255:
2249:
2248:
2235:
2229:
2228:
2206:
2200:
2199:
2191:
2185:
2184:
2173:
2167:
2166:
2159:"On Aristarchus"
2154:
2148:
2147:
2136:
2130:
2129:
2108:
2102:
2099:
2064:
2058:
2049:(Sèvres: 2019),
2037:
2031:
2030:
2028:
2026:
2011:
2002:
2001:
1999:
1997:
1991:
1980:
1970:
1964:
1963:
1961:
1959:
1942:
1936:
1935:
1933:
1931:
1914:
1897:
1890:
1884:
1873:
1867:
1864:
1783:
1765:
1763:
1762:
1759:
1756:
1749:
1747:
1746:
1743:
1740:
1738:
1727:
1725:
1724:
1721:
1718:
1701:
1699:
1698:
1695:
1692:
1685:
1679:
1677:
1676:
1673:
1670:
1653:
1651:
1650:
1647:
1644:
1642:
1631:
1629:
1628:
1625:
1622:
1612:
1610:
1609:
1606:
1603:
1599:
1588:
1586:
1585:
1582:
1579:
1577:
1566:
1564:
1563:
1560:
1557:
1540:
1538:
1537:
1534:
1531:
1524:
1522:
1521:
1518:
1515:
1514:
1504:
1502:
1501:
1498:
1495:
1478:
1476:
1475:
1472:
1469:
1467:
1456:
1454:
1453:
1450:
1447:
1437:
1435:
1434:
1431:
1428:
1424:
1413:
1411:
1410:
1407:
1404:
1397:
1395:
1394:
1391:
1388:
1387:
1377:
1375:
1374:
1371:
1368:
1357:
1351:
1342:
1340:
1339:
1337:
1332:
1329:
1312:
1310:
1309:
1306:
1303:
1296:
1294:
1293:
1290:
1287:
1286:
1276:
1274:
1273:
1270:
1267:
1250:
1248:
1247:
1244:
1241:
1234:
1232:
1231:
1228:
1225:
1224:
1214:
1212:
1211:
1208:
1205:
1195:
1193:
1192:
1189:
1186:
1182:
1171:
1169:
1168:
1165:
1162:
1155:
1153:
1152:
1149:
1146:
1145:
1135:
1133:
1132:
1129:
1126:
1109:
1107:
1106:
1103:
1100:
1093:
1091:
1090:
1087:
1084:
1083:
1073:
1071:
1070:
1067:
1064:
1054:
1052:
1051:
1048:
1045:
1041:
1030:
1028:
1027:
1024:
1021:
1014:
1012:
1011:
1008:
1005:
1004:
994:
992:
991:
988:
985:
975:
973:
972:
969:
966:
962:
951:
949:
948:
945:
942:
935:
933:
932:
929:
926:
925:
915:
913:
912:
909:
906:
862:
858:
843:
842:
838:
833:
832:
828:
824:
816:
815:
811:
806:
805:
801:
789:
788:
784:
767:
745:
739:
729:
723:
721:
720:
717:
714:
697:
691:
690:
686:
667:
666:
662:
661:
651:
645:
612:Measuring angles
545:
516:seconds (of arc)
512:minutes (of arc)
444:
402:Greek scientists
349:Persian calendar
313:
311:
310:
307:
304:
303:
295:
273:is 360 degrees.
232:
230:
229:
226:
223:
217:
209:
201:
199:
198:
195:
192:
191:
183:
175:
167:
165:
164:
161:
158:
157:
150:
142:
134:
132:
131:
128:
125:
119:
111:
40:
28:
27:
3945:
3944:
3940:
3939:
3938:
3936:
3935:
3934:
3905:
3904:
3903:
3891:
3881:
3879:
3869:
3867:
3857:
3855:
3843:
3833:
3831:
3821:
3819:
3807:
3799:
3797:
3792:
3761:Related systems
3756:
3685:
3671:Inch of mercury
3659:
3633:
3580:
3571:Feet per second
3555:
3514:
3488:
3442:
3404:
3368:
3300:
3291:
3286:
3256:
3251:
3208:Related systems
3203:
3169:Horsepower-hour
3117:
3096:
3030:
3010:
2949:
2898:
2850:
2804:
2708:
2699:
2694:
2664:
2659:
2641:
2622:Metric prefixes
2605:
2527:
2409:
2402:
2354:
2349:
2290:
2287:
2282:
2281:
2274:
2256:
2252:
2236:
2232:
2225:
2224:9781-9051-04949
2207:
2203:
2192:
2188:
2174:
2170:
2155:
2151:
2137:
2133:
2124:(CUP). p.
2109:
2105:
2096:
2065:
2061:
2038:
2034:
2024:
2022:
2012:
2005:
1995:
1993:
1989:
1978:
1972:
1971:
1967:
1957:
1955:
1952:Hewlett-Packard
1944:
1943:
1939:
1929:
1927:
1924:Hewlett-Packard
1916:
1915:
1911:
1906:
1901:
1900:
1894:decimal degrees
1891:
1887:
1879:, which is the
1874:
1870:
1865:
1861:
1856:
1799:
1781:
1760:
1757:
1754:
1753:
1751:
1744:
1741:
1736:
1734:
1733:
1731:
1722:
1719:
1716:
1715:
1713:
1696:
1693:
1690:
1689:
1687:
1683:
1674:
1671:
1668:
1667:
1665:
1648:
1645:
1640:
1638:
1637:
1635:
1626:
1623:
1620:
1619:
1617:
1607:
1604:
1601:
1600:
1597:
1595:
1583:
1580:
1575:
1573:
1572:
1570:
1561:
1558:
1555:
1554:
1552:
1535:
1532:
1529:
1528:
1526:
1519:
1516:
1512:
1511:
1510:
1508:
1499:
1496:
1493:
1492:
1490:
1473:
1470:
1465:
1463:
1462:
1460:
1451:
1448:
1445:
1444:
1442:
1432:
1429:
1426:
1425:
1422:
1420:
1408:
1405:
1402:
1401:
1399:
1392:
1389:
1385:
1384:
1383:
1381:
1372:
1369:
1366:
1365:
1363:
1335:
1333:
1330:
1327:
1326:
1324:
1307:
1304:
1301:
1300:
1298:
1291:
1288:
1284:
1283:
1282:
1280:
1271:
1268:
1265:
1264:
1262:
1245:
1242:
1239:
1238:
1236:
1229:
1226:
1222:
1221:
1220:
1218:
1209:
1206:
1203:
1202:
1200:
1190:
1187:
1184:
1183:
1180:
1178:
1166:
1163:
1160:
1159:
1157:
1150:
1147:
1143:
1142:
1141:
1139:
1130:
1127:
1124:
1123:
1121:
1104:
1101:
1098:
1097:
1095:
1088:
1085:
1081:
1080:
1079:
1077:
1068:
1065:
1062:
1061:
1059:
1049:
1046:
1043:
1042:
1039:
1037:
1025:
1022:
1019:
1018:
1016:
1009:
1006:
1002:
1001:
1000:
998:
989:
986:
983:
982:
980:
970:
967:
964:
963:
960:
958:
946:
943:
940:
939:
937:
930:
927:
923:
922:
921:
919:
910:
907:
904:
903:
901:
840:
836:
835:
830:
826:
825:
813:
809:
808:
803:
799:
798:
786:
782:
781:
718:
715:
712:
711:
709:
695:grade (nouveau)
688:
684:
683:
664:
659:
658:
657:
649:
643:
614:
608:
543:
494:decimal degrees
474:
440:
424:used a simpler
408:, Aristarchus,
320:
308:
305:
301:
300:
299:
297:
293:
227:
224:
221:
220:
218:
215:
207:
196:
193:
189:
187:
186:
184:
181:
173:
162:
159:
155:
154:
153:
151:
148:
140:
129:
126:
123:
122:
120:
117:
109:
47:
24:
17:
12:
11:
5:
3943:
3933:
3932:
3927:
3922:
3920:Imperial units
3917:
3902:
3901:
3889:
3877:
3865:
3853:
3841:
3829:
3817:
3794:
3793:
3791:
3790:
3785:
3780:
3775:
3770:
3764:
3762:
3758:
3757:
3755:
3754:
3749:
3747:Spinning count
3744:
3739:
3734:
3729:
3724:
3719:
3714:
3709:
3707:Degree (angle)
3704:
3699:
3693:
3691:
3687:
3686:
3684:
3683:
3678:
3673:
3667:
3665:
3661:
3660:
3658:
3657:
3652:
3647:
3641:
3639:
3635:
3634:
3632:
3631:
3630:
3629:
3624:
3614:
3609:
3604:
3599:
3594:
3588:
3586:
3582:
3581:
3579:
3578:
3576:Miles per hour
3573:
3567:
3565:
3561:
3560:
3557:
3556:
3554:
3553:
3548:
3543:
3538:
3533:
3528:
3522:
3520:
3516:
3515:
3513:
3512:
3507:
3502:
3496:
3494:
3490:
3489:
3487:
3486:
3481:
3476:
3471:
3466:
3461:
3456:
3450:
3448:
3444:
3443:
3441:
3440:
3435:
3430:
3425:
3419:
3417:
3410:
3406:
3405:
3403:
3402:
3397:
3392:
3387:
3382:
3376:
3374:
3370:
3369:
3367:
3366:
3365:
3364:
3354:
3349:
3344:
3339:
3334:
3329:
3324:
3319:
3314:
3308:
3306:
3302:
3301:
3296:
3293:
3292:
3285:
3284:
3277:
3270:
3262:
3253:
3252:
3250:
3249:
3244:
3239:
3234:
3233:
3232:
3227:
3217:
3211:
3209:
3205:
3204:
3202:
3201:
3199:Spinning count
3196:
3191:
3186:
3181:
3176:
3171:
3166:
3161:
3156:
3151:
3146:
3141:
3136:
3131:
3125:
3123:
3119:
3118:
3116:
3115:
3110:
3104:
3102:
3098:
3097:
3095:
3094:
3089:
3084:
3079:
3074:
3069:
3064:
3059:
3054:
3049:
3044:
3038:
3036:
3032:
3031:
3029:
3028:
3026:Miles per hour
3022:
3020:
3016:
3015:
3012:
3011:
3009:
3008:
3003:
2998:
2993:
2988:
2983:
2978:
2973:
2968:
2963:
2957:
2955:
2951:
2950:
2948:
2947:
2942:
2937:
2932:
2927:
2922:
2917:
2912:
2906:
2904:
2900:
2899:
2897:
2896:
2891:
2886:
2881:
2876:
2871:
2865:
2863:
2856:
2852:
2851:
2849:
2848:
2843:
2838:
2833:
2828:
2823:
2818:
2812:
2810:
2806:
2805:
2803:
2802:
2797:
2792:
2787:
2782:
2777:
2775:Gunter's chain
2772:
2767:
2762:
2757:
2752:
2747:
2742:
2737:
2732:
2727:
2722:
2716:
2714:
2710:
2709:
2704:
2701:
2700:
2697:Imperial units
2693:
2692:
2685:
2678:
2670:
2661:
2660:
2658:
2657:
2646:
2643:
2642:
2640:
2639:
2634:
2629:
2624:
2619:
2613:
2611:
2607:
2606:
2604:
2603:
2598:
2593:
2588:
2583:
2578:
2573:
2568:
2563:
2558:
2553:
2548:
2543:
2537:
2535:
2529:
2528:
2526:
2525:
2520:
2515:
2510:
2505:
2500:
2495:
2490:
2485:
2480:
2475:
2470:
2465:
2460:
2455:
2450:
2445:
2440:
2435:
2430:
2428:degree Celsius
2425:
2420:
2414:
2412:
2408:Derived units
2404:
2403:
2401:
2400:
2395:
2390:
2385:
2380:
2375:
2370:
2364:
2362:
2356:
2355:
2348:
2347:
2340:
2333:
2325:
2319:
2318:
2297:
2286:
2285:External links
2283:
2280:
2279:
2272:
2250:
2230:
2223:
2217:. p. 76.
2201:
2186:
2168:
2149:
2131:
2103:
2094:
2059:
2032:
2003:
1981:(1 ed.).
1965:
1950:(1 ed.).
1937:
1922:(8 ed.).
1908:
1907:
1905:
1902:
1899:
1898:
1885:
1868:
1858:
1857:
1855:
1852:
1851:
1850:
1845:
1840:
1835:
1830:
1825:
1820:
1815:
1810:
1805:
1798:
1795:
1792:
1791:
1788:
1785:
1778:
1774:
1773:
1770:
1767:
1729:
1710:
1709:
1706:
1703:
1681:
1662:
1661:
1658:
1655:
1633:
1614:
1613:
1593:
1590:
1568:
1549:
1548:
1545:
1542:
1506:
1487:
1486:
1483:
1480:
1458:
1439:
1438:
1418:
1415:
1379:
1360:
1359:
1353:
1347:
1344:
1321:
1320:
1317:
1314:
1278:
1259:
1258:
1255:
1252:
1216:
1197:
1196:
1176:
1173:
1137:
1118:
1117:
1114:
1111:
1075:
1056:
1055:
1035:
1032:
996:
977:
976:
956:
953:
917:
898:
897:
894:
891:
888:
884:
883:
878:
873:
868:
854:St. Petersburg
607:
604:
473:
470:
374:, used by the
347:, such as the
319:
316:
234:
233:
213:
204:
203:
179:
170:
169:
146:
137:
136:
115:
106:
105:
102:
101:
96:
89:
88:
84:
83:
80:
76:
75:
70:
66:
65:
60:
54:
53:
49:
48:
41:
33:
32:
15:
9:
6:
4:
3:
2:
3942:
3931:
3928:
3926:
3923:
3921:
3918:
3916:
3913:
3912:
3910:
3900:
3895:
3890:
3888:
3878:
3876:
3866:
3864:
3854:
3852:
3847:
3842:
3840:
3830:
3828:
3818:
3816:
3811:
3806:
3805:
3802:
3789:
3786:
3784:
3781:
3779:
3776:
3774:
3771:
3769:
3766:
3765:
3763:
3759:
3753:
3750:
3748:
3745:
3743:
3740:
3738:
3735:
3733:
3730:
3728:
3725:
3723:
3720:
3718:
3715:
3713:
3710:
3708:
3705:
3703:
3700:
3698:
3695:
3694:
3692:
3688:
3682:
3679:
3677:
3674:
3672:
3669:
3668:
3666:
3662:
3656:
3653:
3651:
3648:
3646:
3643:
3642:
3640:
3636:
3628:
3625:
3623:
3620:
3619:
3618:
3615:
3613:
3612:Hundredweight
3610:
3608:
3605:
3603:
3600:
3598:
3595:
3593:
3590:
3589:
3587:
3583:
3577:
3574:
3572:
3569:
3568:
3566:
3562:
3552:
3549:
3547:
3544:
3542:
3539:
3537:
3534:
3532:
3529:
3527:
3524:
3523:
3521:
3517:
3511:
3508:
3506:
3503:
3501:
3498:
3497:
3495:
3491:
3485:
3482:
3480:
3477:
3475:
3472:
3470:
3467:
3465:
3462:
3460:
3457:
3455:
3452:
3451:
3449:
3445:
3439:
3436:
3434:
3431:
3429:
3426:
3424:
3421:
3420:
3418:
3414:
3411:
3407:
3401:
3398:
3396:
3393:
3391:
3388:
3386:
3383:
3381:
3378:
3377:
3375:
3371:
3363:
3360:
3359:
3358:
3355:
3353:
3350:
3348:
3345:
3343:
3340:
3338:
3335:
3333:
3330:
3328:
3325:
3323:
3320:
3318:
3315:
3313:
3310:
3309:
3307:
3303:
3299:
3294:
3290:
3283:
3278:
3276:
3271:
3269:
3264:
3263:
3260:
3248:
3245:
3243:
3240:
3238:
3235:
3231:
3228:
3226:
3223:
3222:
3221:
3220:English units
3218:
3216:
3213:
3212:
3210:
3206:
3200:
3197:
3195:
3192:
3190:
3187:
3185:
3182:
3180:
3179:Pound (force)
3177:
3175:
3172:
3170:
3167:
3165:
3162:
3160:
3157:
3155:
3152:
3150:
3147:
3145:
3142:
3140:
3137:
3135:
3132:
3130:
3127:
3126:
3124:
3120:
3114:
3111:
3109:
3106:
3105:
3103:
3099:
3093:
3090:
3088:
3085:
3083:
3082:Hundredweight
3080:
3078:
3075:
3073:
3070:
3068:
3065:
3063:
3060:
3058:
3055:
3053:
3050:
3048:
3045:
3043:
3040:
3039:
3037:
3033:
3027:
3024:
3023:
3021:
3017:
3007:
3004:
3002:
2999:
2997:
2994:
2992:
2989:
2987:
2984:
2982:
2979:
2977:
2976:Fluid Scruple
2974:
2972:
2969:
2967:
2964:
2962:
2959:
2958:
2956:
2952:
2946:
2943:
2941:
2938:
2936:
2933:
2931:
2928:
2926:
2923:
2921:
2918:
2916:
2913:
2911:
2908:
2907:
2905:
2901:
2895:
2892:
2890:
2887:
2885:
2882:
2880:
2877:
2875:
2872:
2870:
2867:
2866:
2864:
2860:
2857:
2853:
2847:
2844:
2842:
2839:
2837:
2834:
2832:
2829:
2827:
2824:
2822:
2819:
2817:
2814:
2813:
2811:
2807:
2801:
2798:
2796:
2795:Nautical mile
2793:
2791:
2788:
2786:
2783:
2781:
2778:
2776:
2773:
2771:
2768:
2766:
2763:
2761:
2758:
2756:
2753:
2751:
2748:
2746:
2743:
2741:
2738:
2736:
2733:
2731:
2728:
2726:
2723:
2721:
2718:
2717:
2715:
2711:
2707:
2702:
2698:
2691:
2686:
2684:
2679:
2677:
2672:
2671:
2668:
2656:
2648:
2647:
2644:
2638:
2635:
2633:
2630:
2628:
2625:
2623:
2620:
2618:
2615:
2614:
2612:
2608:
2602:
2599:
2597:
2594:
2592:
2589:
2587:
2584:
2582:
2579:
2577:
2574:
2572:
2569:
2567:
2564:
2562:
2561:degree of arc
2559:
2557:
2554:
2552:
2549:
2547:
2544:
2542:
2539:
2538:
2536:
2534:
2530:
2524:
2521:
2519:
2516:
2514:
2511:
2509:
2506:
2504:
2501:
2499:
2496:
2494:
2491:
2489:
2486:
2484:
2481:
2479:
2476:
2474:
2471:
2469:
2466:
2464:
2461:
2459:
2456:
2454:
2451:
2449:
2446:
2444:
2441:
2439:
2436:
2434:
2431:
2429:
2426:
2424:
2421:
2419:
2416:
2415:
2413:
2411:
2405:
2399:
2396:
2394:
2391:
2389:
2386:
2384:
2381:
2379:
2376:
2374:
2371:
2369:
2366:
2365:
2363:
2361:
2357:
2353:
2346:
2341:
2339:
2334:
2332:
2327:
2326:
2323:
2315:
2311:
2307:
2306:Sixty Symbols
2303:
2298:
2293:
2289:
2288:
2275:
2269:
2265:
2261:
2254:
2246:
2245:
2240:
2234:
2226:
2220:
2216:
2212:
2205:
2197:
2190:
2182:
2178:
2172:
2164:
2160:
2153:
2145:
2141:
2135:
2127:
2123:
2119:
2118:
2113:
2107:
2101:
2097:
2091:
2087:
2083:
2079:
2075:
2074:
2069:
2063:
2056:
2052:
2048:
2046:
2041:
2036:
2021:
2017:
2010:
2008:
1988:
1984:
1977:
1976:
1969:
1953:
1949:
1948:
1941:
1925:
1921:
1920:
1913:
1909:
1895:
1889:
1882:
1878:
1872:
1863:
1859:
1849:
1846:
1844:
1843:Square second
1841:
1839:
1838:Square minute
1836:
1834:
1833:Square degree
1831:
1829:
1826:
1824:
1821:
1819:
1816:
1814:
1811:
1809:
1806:
1804:
1801:
1800:
1789:
1786:
1779:
1776:
1775:
1771:
1768:
1730:
1712:
1711:
1707:
1704:
1682:
1664:
1663:
1659:
1656:
1634:
1616:
1615:
1594:
1591:
1569:
1551:
1550:
1546:
1543:
1507:
1489:
1488:
1484:
1481:
1459:
1441:
1440:
1419:
1416:
1380:
1362:
1361:
1354:
1348:
1345:
1323:
1322:
1318:
1315:
1279:
1261:
1260:
1256:
1253:
1217:
1199:
1198:
1177:
1174:
1138:
1120:
1119:
1115:
1112:
1076:
1058:
1057:
1036:
1033:
997:
979:
978:
957:
954:
918:
900:
899:
895:
892:
889:
886:
885:
882:
879:
877:
874:
872:
869:
867:
864:
863:
857:
855:
851:
850:indirect fire
847:
820:
796:
791:
779:
775:
771:
766:
761:
757:
753:
749:
744:
738:
733:
728:
707:
703:
702:
696:
681:
680:metric system
676:
674:
669:
655:
647:
646:
639:
635:
631:
627:
618:
613:
603:
601:
597:
593:
589:
587:
583:
579:
575:
571:
570:Roman numeral
567:
563:
559:
554:
552:
551:nautical mile
547:
541:
537:
533:
532:
527:
526:
521:
517:
513:
509:
506:
501:
499:
495:
491:
487:
483:
479:
469:
465:
463:
460:
456:
452:
448:
443:
438:
435:: 360 has 24
434:
429:
427:
423:
419:
415:
411:
407:
403:
399:
395:
391:
389:
385:
381:
377:
373:
369:
365:
360:
358:
354:
350:
346:
342:
338:
329:
324:
315:
291:
290:accepted unit
287:
283:
279:
276:It is not an
274:
272:
271:full rotation
269:in which one
268:
265:
261:
260:degree symbol
257:
253:
249:
245:
244:degree of arc
241:
214:
212:
205:
180:
178:
171:
147:
145:
138:
116:
114:
107:
103:
100:
97:
95:
91:
90:
85:
81:
77:
74:
71:
67:
64:
61:
59:
55:
50:
45:
39:
34:
29:
26:
22:
3887:Solar System
3722:Foot-lambert
3706:
3697:Bolt (cloth)
3159:Foot-poundal
3133:
3077:Long hundred
3057:Pound (mass)
2981:Fluid Drachm
2940:Trade gallon
2566:electronvolt
2560:
2305:
2273:1-34920177-4
2259:
2253:
2243:
2233:
2210:
2204:
2189:
2180:
2171:
2162:
2152:
2146:. p. 2.
2143:
2134:
2116:
2106:
2077:
2072:
2062:
2044:
2035:
2023:. Retrieved
2019:
1994:. Retrieved
1987:the original
1974:
1968:
1956:. Retrieved
1946:
1940:
1928:. Retrieved
1918:
1912:
1888:
1871:
1862:
1828:Meridian arc
875:
792:
773:
759:
740:), likewise
705:
699:
677:
670:
641:
626:mathematical
623:
599:
595:
590:
561:
557:
555:
548:
540:double prime
536:single prime
529:
523:
520:DMS notation
519:
515:
511:
502:
497:
475:
472:Subdivisions
466:
464:convention.
430:
422:Eratosthenes
392:
361:
333:
275:
255:
251:
247:
243:
242:(in full, a
239:
237:
177:milliradians
98:
93:
82:°, deg
69:Unit of
25:
21:Angular unit
3875:Outer space
3863:Spaceflight
3815:Mathematics
3717:Foot-candle
3650:Pound-force
3464:Fluid ounce
3400:Square mile
3390:Square yard
3385:Square foot
3380:Square inch
3149:Foot-candle
2920:Fluid ounce
2846:Square mile
2826:Square yard
2821:Square foot
2816:Square inch
2310:Brady Haran
1930:6 September
1643:or 2𝜏 or α
819:milliradian
795:angular mil
600:microdegree
596:millidegree
592:SI prefixes
505:sexagesimal
498:DD notation
426:sexagesimal
418:arc minutes
388:sexagesimal
368:sexagesimal
357:sexagesimal
337:astronomers
286:SI brochure
58:Unit system
44:right angle
3909:Categories
3732:Horsepower
3712:Fahrenheit
3500:Board foot
3459:Tablespoon
3438:Cubic mile
3433:Cubic yard
3428:Cubic foot
3423:Cubic inch
3225:Winchester
3184:Pound-foot
3164:Horsepower
3154:Foot-pound
3139:Fahrenheit
2915:Tablespoon
2889:Cubic mile
2884:Cubic yard
2874:Cubic foot
2869:Cubic inch
2730:Barleycorn
2360:Base units
2213:. Hamble:
1996:13 October
1958:10 October
1904:References
1596:133
610:See also:
584:, 1 for a
580:, 1 for a
451:time zones
414:Archimedes
410:Aristillus
406:Timocharis
398:Hipparchus
378:and their
248:arc degree
3839:Astronomy
3827:Geography
3551:Acre-foot
3510:Face cord
3230:Exchequer
3087:Ship load
2503:steradian
2418:becquerel
2241:(1879) .
2239:Al-Biruni
2047:, 9th ed.
2025:31 August
1848:Steradian
1421:66
1179:33
1038:16
770:Icelandic
756:Norwegian
531:arcsecond
525:arcminute
490:longitude
478:astronomy
455:longitude
359:numbers.
345:calendars
314:radians.
252:arcdegree
3664:Pressure
3454:Teaspoon
3101:Pressure
3006:Hogshead
2961:Chaldron
2910:Teaspoon
2655:Category
2610:See also
2383:kilogram
2352:SI units
2312:for the
2142:(1946).
2114:(1947).
2016:"Degree"
1797:See also
959:5
881:Gradians
624:In most
566:al-Kashi
538:(′) and
486:latitude
437:divisors
351:and the
341:ecliptic
3899:Science
3801:Portals
3645:Poundal
3447:Cooking
3416:Derived
3362:statute
3352:Furlong
3189:Poundal
3174:Kenning
3144:Rankine
3067:Quarter
2903:Cooking
2862:Derived
2780:Furlong
2571:hectare
2556:decibel
2498:sievert
2493:siemens
2423:coulomb
2373:candela
1823:Gradian
1803:Compass
1780:𝜏 or 2
1777:1 turn
1764:
1752:
1748:
1732:
1726:
1714:
1700:
1688:
1678:
1666:
1652:
1636:
1630:
1618:
1611:
1587:
1571:
1565:
1553:
1539:
1527:
1523:
1509:
1503:
1491:
1477:
1461:
1455:
1443:
1436:
1412:
1400:
1396:
1382:
1376:
1364:
1356:approx.
1350:approx.
1341:
1325:
1311:
1299:
1295:
1281:
1275:
1263:
1249:
1237:
1233:
1219:
1213:
1201:
1194:
1170:
1158:
1154:
1140:
1134:
1122:
1108:
1096:
1092:
1078:
1072:
1060:
1053:
1029:
1017:
1013:
999:
993:
981:
974:
950:
938:
934:
920:
914:
902:
887:0 turn
876:Degrees
871:Radians
839:⁄
829:⁄
812:⁄
802:⁄
785:⁄
765:nýgráða
762:), and
760:gradian
752:Swedish
737:Altgrad
727:Neugrad
722:
710:
706:grad(e)
687:⁄
663:⁄
656:: 1° =
630:radians
602:, etc.
562:fourths
480:or for
459:24-hour
445:in the
442:A072938
318:History
312:
298:
278:SI unit
231:
219:
200:
185:
166:
152:
144:radians
133:
121:
3546:Barrel
3541:Bushel
3484:Gallon
3409:Volume
3305:Length
3134:Degree
3047:Drachm
2996:Barrel
2991:Bushel
2945:Gallon
2879:Hoppus
2855:Volume
2800:League
2760:Fathom
2713:Length
2586:minute
2546:dalton
2488:radian
2483:pascal
2473:newton
2398:second
2378:kelvin
2368:ampere
2270:
2221:
2092:
2068:Euclid
2053:
1352:57.3°
1346:1 rad
1113:22.5°
890:0 rad
758:(also
748:Danish
743:nygrad
732:German
586:fourth
578:second
558:thirds
384:chords
288:as an
282:radian
240:degree
94:in ...
79:Symbol
31:Degree
3851:Stars
3638:Force
3627:Short
3607:Pound
3602:Ounce
3592:Grain
3564:Speed
3526:Minim
3519:Other
3479:Quart
3347:Chain
3062:Stone
3052:Ounce
3042:Grain
3019:Speed
3001:Stuck
2966:Minim
2954:Other
2935:Quart
2894:Tmcft
2831:Perch
2785:Cable
2770:Chain
2601:tonne
2596:neper
2581:litre
2523:weber
2508:tesla
2463:lumen
2458:katal
2453:joule
2448:hertz
2443:henry
2433:farad
2388:metre
2076:[
1990:(PDF)
1979:(PDF)
1854:Notes
1787:360°
1769:270°
1728:turn
1705:180°
1680:turn
1657:144°
1632:turn
1592:120°
1578:or 𝜏
1567:turn
1505:turn
1468:or 𝜏
1457:turn
1378:turn
1358:63.7
1343:turn
1338:or 𝜏
1277:turn
1215:turn
1136:turn
1074:turn
995:turn
916:turn
866:Turns
841:6,000
831:6,283
814:6,000
804:6,400
787:4,000
582:third
574:prime
380:Greek
328:chord
267:angle
264:plane
258:(the
250:, or
113:turns
73:Angle
3737:Perm
3622:Long
3597:Dram
3585:Mass
3536:Peck
3531:Gill
3505:Cord
3493:Wood
3474:Pint
3395:Acre
3373:Area
3357:Mile
3337:Yard
3332:Foot
3327:Link
3322:Hand
3317:Inch
3194:Span
3072:Slug
3035:Mass
2986:Peck
2971:Gill
2930:Pint
2841:Acre
2836:Rood
2809:Area
2790:Mile
2755:Yard
2750:Foot
2745:Link
2740:Hand
2735:Inch
2720:Twip
2576:hour
2518:watt
2513:volt
2438:gray
2393:mole
2268:ISBN
2219:ISBN
2090:ISBN
2051:ISBN
2027:2020
1998:2015
1960:2015
1932:2015
1877:2520
1790:400
1784:rad
1772:300
1766:rad
1739:or ρ
1708:200
1702:rad
1660:160
1654:rad
1589:rad
1547:100
1544:90°
1541:rad
1482:72°
1479:rad
1417:60°
1414:rad
1316:45°
1313:rad
1254:36°
1251:rad
1175:30°
1172:rad
1110:rad
1034:15°
1031:rad
952:rad
754:and
701:grad
673:turn
671:One
638:turn
528:and
508:unit
488:and
447:OEIS
396:and
211:gons
135:turn
3655:Kip
3617:Ton
3469:Cup
3342:Rod
3108:Ksi
3092:Ton
2925:Cup
2765:Rod
2551:day
2478:ohm
2468:lux
1755:3𝜏
1750:or
1686:or
1525:or
1485:80
1398:or
1319:50
1297:or
1257:40
1235:or
1156:or
1116:25
1094:or
1015:or
955:5°
936:or
893:0°
807:to
793:An
774:gon
768:in
746:in
730:in
719:360
698:or
665:180
462:day
309:180
188:50·
163:180
130:360
92:1°
3911::
2308:.
2304:.
2262:.
2179:.
2161:.
2120:.
2088:.
2042:,
2018:.
2006:^
1691:𝜏
1530:𝜏
1403:𝜏
1302:𝜏
1246:10
1240:𝜏
1210:10
1167:12
1161:𝜏
1131:12
1105:16
1099:𝜏
1069:16
1026:24
1020:𝜏
1010:12
990:24
947:72
941:𝜏
931:36
911:72
896:0
823:c.
750:,
685:10
668:.
598:,
560:,
420:.
412:,
246:,
238:A
222:10
3803::
3281:e
3274:t
3267:v
2689:e
2682:t
2675:v
2344:e
2337:t
2330:v
2316:.
2294:.
2276:.
2227:.
2183:.
2165:.
2128:.
2126:7
2098:.
2029:.
2000:.
1962:.
1934:.
1896:.
1782:π
1761:4
1758:/
1745:2
1742:/
1737:π
1735:3
1723:4
1720:/
1717:3
1697:2
1694:/
1684:π
1675:2
1672:/
1669:1
1649:5
1646:/
1641:π
1639:4
1627:5
1624:/
1621:2
1608:3
1605:/
1602:1
1598:+
1584:3
1581:/
1576:π
1574:2
1562:3
1559:/
1556:1
1536:4
1533:/
1520:2
1517:/
1513:π
1500:4
1497:/
1494:1
1474:5
1471:/
1466:π
1464:2
1452:5
1449:/
1446:1
1433:3
1430:/
1427:2
1423:+
1409:6
1406:/
1393:3
1390:/
1386:π
1373:6
1370:/
1367:1
1336:π
1334:2
1331:/
1328:1
1308:8
1305:/
1292:4
1289:/
1285:π
1272:8
1269:/
1266:1
1243:/
1230:5
1227:/
1223:π
1207:/
1204:1
1191:3
1188:/
1185:1
1181:+
1164:/
1151:6
1148:/
1144:π
1128:/
1125:1
1102:/
1089:8
1086:/
1082:π
1066:/
1063:1
1050:3
1047:/
1044:2
1040:+
1023:/
1007:/
1003:π
987:/
984:1
971:9
968:/
965:5
961:+
944:/
928:/
924:π
908:/
905:1
837:1
827:1
821:(
810:1
800:1
783:1
716:/
713:1
689:9
660:π
650:π
644:π
496:(
484:(
306:/
302:π
294:π
256:°
228:9
225:/
197:9
194:/
190:π
160:/
156:π
127:/
124:1
46:.
23:.
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