正多边形内角大小,指正多边形每个内角大小,内角大小可以有三种情况包括整数、有限小数和无限循环小数。
| 角度 |
弧度
|
| 180° |
pi
|
| 360° |
2 * pi
|
| 120° |
2/3 * pi
|
| 240° |
4/3 * pi
|
| 360° |
2 * pi
|
| 90° |
1/2 * pi
|
| 180° |
pi
|
| 270° |
3/2 * pi
|
| 360° |
2 * pi
|
| 72° |
2/5 * pi
|
| 144° |
4/5 * pi
|
| 216° |
6/5 * pi
|
| 288° |
8/5 * pi
|
| 360° |
2 * pi
|
| 60° |
1/3 * pi
|
| 120° |
2/3 * pi
|
| 180° |
pi
|
| 240° |
4/3 * pi
|
| 300° |
5/3 * pi
|
| 360° |
2 * pi
|
| 45° |
1/4 * pi
|
| 90° |
1/2 * pi
|
| 135° |
3/4 * pi
|
| 180° |
pi
|
| 225° |
5/4 * pi
|
| 270° |
3/2 * pi
|
| 315° |
7/4 * pi
|
| 360° |
2 * pi
|
| 边数 |
每个内角大小
|
| 3 |
60°
|
| 4 |
90°
|
| 5 |
108°
|
| 6 |
120°
|
| 7 |
128.(571428)°
|
| 8 |
135°
|
| 9 |
140°
|
| 10 |
144°
|
| 11 |
147.(27)°
|
| 12 |
150°
|
| 13 |
152.(307692)°
|
| 14 |
154.(285714)°
|
| 15 |
156°
|
| 16 |
157.5°
|
| 17 |
158.(8235294117647058)°
|
| 18 |
160°
|
| 19 |
161.(052631578947368421)°
|
| 20 |
162°
|
| 边数 |
每个内角大小
|
| 3 |
60°
|
| 4 |
90°
|
| 5 |
108°
|
| 6 |
120°
|
| 8 |
135°
|
| 9 |
140°
|
| 10 |
144°
|
| 12 |
150°
|
| 15 |
156°
|
| 16 |
157.5°
|
| 18 |
160°
|
| 20 |
162°
|
| 24 |
165°
|
| 25 |
165.6°
|
| 30 |
168°
|
| 32 |
168.75°
|
| 36 |
170°
|
| 40 |
171°
|
| 45 |
172°
|
| 48 |
172.5°
|
| 50 |
172.8°
|
| 60 |
174°
|
| 64 |
174.375°
|
| 72 |
175°
|
| 75 |
175.2°
|
| 80 |
175.5°
|
| 90 |
176°
|
| 96 |
176.25°
|
| 100 |
176.4°
|
| 120 |
177°
|
| 125 |
177.12°
|
| 128 |
177.1875°
|
| 144 |
177.5°
|
| 150 |
177.6°
|
| 160 |
177.75°
|
| 180 |
178°
|
| 192 |
178.125°
|
| 200 |
178.2°
|
| 边数 |
每个内角大小
|
| 225 |
178.4°
|
| 240 |
178.5°
|
| 250 |
178.56°
|
| 256 |
178.59375°
|
| 288 |
178.75°
|
| 300 |
178.8°
|
| 320 |
178.875°
|
| 360 |
179°
|
| 375 |
179.04°
|
| 384 |
179.0625°
|
| 400 |
179.1°
|
| 450 |
179.2°
|
| 480 |
179.25°
|
| 500 |
179.28°
|
| 边数 |
每个内角大小
|
| 4 |
90°
|
| 8 |
135°
|
| 16 |
157.5°
|
| 32 |
168.75°
|
| 64 |
174.375°
|
| 128 |
177.1875°
|
| 256 |
178.59375°
|
| 512 |
179.296875°
|
| 1024 |
179.6484375°
|
| 2048 |
179.82421875°
|
| 4096 |
179.912109375°
|
| 8192 |
179.9560546875°
|
| 16384 |
179.97802734375°
|
| 32768 |
179.989013671875°
|
| 65536 |
179.9945068359375°
|
| 131072 |
179.99725341796875°
|
| 262144 |
179.998626708984375°
|
| 524288 |
179.9993133544921875°
|
| 1048576 |
179.99965667724609375°
|
| 2097152 |
179.999828338623046875°
|
| 4194304 |
179.9999141693115234375°
|
| 8388608 |
179.99995708465576171875°
|
| 16777216 |
179.999978542327880859375°
|
| 33554432 |
179.9999892711639404296875°
|
| 67108864 |
179.99999463558197021484375°
|
| 134217728 |
179.999997317790985107421875°
|
| 268435456 |
179.9999986588954925537109375°
|
| 536870912 |
179.99999932944774627685546875°
|
| 1073741824 |
179.999999664723873138427734375°
|
| 2147483648 |
179.9999998323619365692138671875°
|
| 4294967296 |
179.99999991618096828460693359375°
|
| 8589934592 |
179.999999958090484142303466796875°
|
| 17179869184 |
179.9999999790452420711517333984375°
|
| 34359738368 |
179.99999998952262103557586669921875°
|
| 68719476736 |
179.999999994761310517787933349609375°
|
| 137438953472 |
179.9999999973806552588939666748046875°
|
| 274877906944 |
179.99999999869032762944698333740234375°
|
| 549755813888 |
179.999999999345163814723491668701171875°
|
| 1099511627776 |
179.9999999996725819073617458343505859375°
|
| 2199023255552 |
179.99999999983629095368087291717529296875°
|
| 4398046511104 |
179.999999999918145476840436458587646484375°
|
| 8796093022208 |
179.9999999999590727384202182292938232421875°
|
| 17592186044416 |
179.99999999997953636921010911464691162109375°
|
| 35184372088832 |
179.999999999989768184605054557323455810546875°
|
| 70368744177664 |
179.9999999999948840923025272786617279052734375°
|
| 140737488355328 |
179.99999999999744204615126363933086395263671875°
|
| 281474976710656 |
179.999999999998721023075631819665431976318359375°
|
| 562949953421312 |
179.9999999999993605115378159098327159881591796875°
|
| 1125899906842624 |
179.99999999999968025576890795491635799407958984375°
|
| 2251799813685248 |
179.999999999999840127884453977458178997039794921875°
|
| 4503599627370496 |
179.9999999999999200639422269887290894985198974609375°
|
| 9007199254740992 |
179.99999999999996003197111349436454474925994837046875°
|
| 边数 |
每个内角大小
|
| 5 |
108°
|
| 10 |
144°
|
| 20 |
162°
|
| 40 |
171°
|
| 80 |
175.5°
|
| 160 |
177.75°
|
| 320 |
178.875°
|
| 640 |
179.4375°
|
| 1280 |
179.71875°
|
| 2560 |
179.859375°
|
| 5120 |
179.9296875°
|
| 10240 |
179.96484375°
|
| 20480 |
179.982421875°
|
| 40960 |
179.9912109375°
|
| 81920 |
179.99560546875°
|
| 163840 |
179.997802734375°
|
| 327680 |
179.9989013671875°
|
| 655360 |
179.99945068359375°
|
| 1310720 |
179.999725341796875°
|
| 2621440 |
179.9998626708984375°
|
| 5242880 |
179.99993133544921875°
|
| 10485760 |
179.999965667724609375°
|
| 20971520 |
179.9999828338623046875°
|
| 41943040 |
179.99999141693115234375°
|
| 83886080 |
179.999995708465576171875°
|
| 167772160 |
179.9999978542327880859375°
|
| 335544320 |
179.99999892711639404296875°
|
| 671088640 |
179.999999463558197021484375°
|
| 1342177280 |
179.9999997317790985107421875°
|
| 2684354560 |
179.99999986588954925537109375°
|
| 5368709120 |
179.999999932944774627685546875°
|
| 10737418240 |
179.9999999664723873138427734375°
|
| 21474836480 |
179.99999998323619365692138671875°
|
| 42949672960 |
179.999999991618096828460693359375°
|
| 85899345920 |
179.9999999958090484142303466796875°
|
| 171798691840 |
179.99999999790452420711517333984375°
|
| 343597383680 |
179.999999998952262103557586669921875°
|
| 687194767360 |
179.9999999994761310517787933349609375°
|
| 1374389534720 |
179.99999999973806552588939666748046875°
|
| 2748779069440 |
179.999999999869032762944698333740234375°
|
| 5497558138880 |
179.9999999999345163814723491668701171875°
|
| 边数 |
每个内角大小
|
| 3 |
60°
|
| 6 |
120°
|
| 12 |
150°
|
| 24 |
165°
|
| 48 |
172.5°
|
| 96 |
176.25°
|
| 192 |
178.125°
|
| 384 |
179.0625°
|
| 768 |
179.53125°
|
| 1536 |
179.765625°
|
| 3072 |
179.8828125°
|
| 6144 |
179.94140625°
|
| 12288 |
179.970703125°
|
| 24576 |
179.9853515625°
|
| 49152 |
179.99267578125°
|
| 98304 |
179.996337890625°
|
| 196608 |
179.9981689453125°
|
| 393216 |
179.99908447265625°
|
| 786432 |
179.999542236328125°
|
| 1572864 |
179.9997711181640625°
|
| 3145728 |
179.99988555908203125°
|
| 6291456 |
179.999942779541015625°
|
| 12582912 |
179.9999713897705078125°
|
| 25165824 |
179.99998569488525390625°
|
| 50331648 |
179.999992847442626953125°
|
| 100663296 |
179.9999964237213134765625°
|
| 201326592 |
179.99999821186065673828125°
|
| 402653184 |
179.999999105930328369140625°
|
| 805306368 |
179.9999995529651641845703125°
|
| 1610612736 |
179.99999977648258209228515625°
|
| 3221225472 |
179.999999888241291046142578125°
|
| 6442450944 |
179.9999999441206455230712890625°
|
| 12884901888 |
179.99999997206032276153564453125°
|
| 25769803776 |
179.999999986030161380767822265625°
|
| 51539607552 |
179.9999999930150806903839111328125°
|
| 103079215104 |
179.99999999650754034519195556640625°
|
| 206158430208 |
179.999999998253770172595977783203125°
|
| 412316860416 |
179.9999999991268850862979888916015625°
|
| 824633720832 |
179.99999999956344254314899444580078125°
|
| 1649267441664 |
179.999999999781721271574497222900390625°
|
| 3298534883328 |
179.9999999998908606357872486114501953125°
|
| 6597069766656 |
179.99999999994543031789362430572509765625°
|
| 13194139533312 |
179.999999999972715158946812152862548828125°
|
| 26388279066624 |
179.9999999999863575794734060764312744140625°
|
| 52776558133248 |
179.99999999999317878973670303821563720703125°
|
| 105553116266496 |
179.999999999996589394868351519107818603515625°
|
| 211106232532992 |
179.9999999999982946974371757595539093017578125°
|
| 422212465065984 |
179.99999999999914734871708787977695465087890625°
|
| 844424930131968 |
179.999999999999573674358543939888477325439453125°
|
| 边数 |
每个内角大小
|
| 9 |
140°
|
| 18 |
160°
|
| 36 |
170°
|
| 72 |
175°
|
| 144 |
177.5°
|
| 288 |
178.75°
|
| 576 |
179.375°
|
| 1152 |
179.6875°
|
| 2304 |
179.84375°
|
| 4608 |
179.921875°
|
| 9216 |
179.9609375°
|
| 18432 |
179.98046875°
|
| 36864 |
179.990234375°
|
| 73728 |
179.9951171875°
|
| 147456 |
179.99755859375°
|
| 294912 |
179.998779296875°
|
| 589824 |
179.9993896484375°
|
| 1179648 |
179.99969482421875°
|
| 2359296 |
179.999847412109375°
|
| 4718592 |
179.9999237060546875°
|
| 9437184 |
179.99996185302734375°
|
| 18874368 |
179.999980926513671875°
|
| 37748736 |
179.9999904632568359375°
|
| 75497472 |
179.99999523162841796875°
|
| 150994944 |
179.999997615814208984375°
|
| 301989888 |
179.9999988079071044921875°
|
| 603979776 |
179.99999940395355224609375°
|
| 1207959552 |
179.999999701976776123046875°
|
| 2415919104 |
179.9999998509883880615234375°
|
| 4831838208 |
179.99999992549419403076171875°
|
| 9663676416 |
179.999999962747097015380859375°
|
| 19327352832 |
179.9999999813735485076904296875°
|
| 38654705664 |
179.99999999068677425384521484375°
|
| 77309411328 |
179.999999995343387126922607421875°
|
| 154618822656 |
179.9999999976716935634613037109375°
|
| 309237645312 |
179.99999999883584678173065185546875°
|
| 618475290624 |
179.999999999417923390865325927734375°
|
| 1236950581248 |
179.9999999997089616954326629638671875°
|
| 2473901162496 |
179.99999999985448084771633148193359375°
|
| 4947802324992 |
179.999999999927240423858165740966796875°
|
| 9895604649984 |
179.9999999999636202119290828704833984375°
|
| 19791209299968 |
179.99999999998181010596454143524169921875°
|
| 39582418599936 |
179.999999999990905052982270717620849069375°
|
| 79164837199872 |
179.9999999999954525264911353588104248046875°
|
| 边数 |
每个内角大小
|
| 5 |
108°
|
| 25 |
156.6°
|
| 125 |
177.12°
|
| 625 |
179.424°
|
| 3125 |
179.8848°
|
| 15625 |
179.97696°
|
| 78125 |
179.995392°
|
| 390625 |
179.9990784°
|
| 1953125 |
179.99981568°
|
| 9765625 |
179.999963136°
|
| 48828125 |
179.9999926272°
|
| 244140625 |
179.99999852544°
|
| 1220703125 |
179.999999705088°
|
| 6103515625 |
179.9999999410176°
|
| 30517578125 |
179.99999998820352°
|
| 152587890625 |
179.999999997640704°
|
| 762939453125 |
179.9999999995281408°
|
| 3814697265625 |
179.99999999990562816°
|
| 19073486328125 |
179.999999999981125632°
|
| 95367431640625 |
179.9999999999962251264°
|
| 476837158203125 |
179.99999999999924502528°
|
| 2384185791015625 |
179.999999999999849005056°
|
| 11920928955078125 |
179.9999999999999689010112°
|
| 59604644775390625 |
179.99999999999999396020224°
|
| 298023223876953125 |
179.999999999999998792040448°
|
| 1490116119384765625 |
179.9999999999999997584080896°
|
| 7450580596923828125 |
179.99999999999999995168161792°
|
| 37252902984619140625 |
179.999999999999999990336323584°
|
| 186264514923095703125 |
179.9999999999999999980672647168°
|
| 931322574615478515625 |
179.99999999999999999961345294336°
|
| 4656612873077392578125 |
179.999999999999999999922690588672°
|
| 23283064365386962890625 |
179.9999999999999999999845381177344°
|
| 116415321826934814453125 |
179.99999999999999999999690762354688°
|
| 582076609134674072265625 |
179.999999999999999999999381524709376°
|
| 2910383045673370361328125 |
179.9999999999999999999998763049418752°
|
| 14551915228366851806640625 |
179.99999999999999999999997526098837504°
|
| 72759576141834259033203125 |
179.999999999999999999999995052197675008°
|
| 363797880709171295166015625 |
179.9999999999999999999999990104395350016°
|
| 1818989403545856475830078125 |
179.99999999999999999999999980208790700032°
|
| 9094947017729282379150390625 |
179.999999999999999999999999960417581400064°
|
| 45474735088646411895751953125 |
179.9999999999999999999999999920835162800128°
|
| 227373675443232059478759765625 |
179.99999999999999999999999999841670325600256°
|
| 1136868377216160297393798828125 |
179.999999999999999999999999999683340651200512°
|
| 5684341886080801486968994140625 |
179.9999999999999999999999999999366681302401024°
|
| 28421709430404007434844970703125 |
179.99999999999999999999999999998733362604802048°
|
| 142108547152020037174224853515625 |
179.999999999999999999999999999997466725209604096°
|
| 710542735760100185871124267578125 |
179.9999999999999999999999999999994933450419208192°
|
| 边数 |
每个内角大小
|
| 10 |
144°
|
| 50 |
172.8°
|
| 250 |
178.56°
|
| 1250 |
179.712°
|
| 6250 |
179.9424°
|
| 31250 |
179.98848°
|
| 156250 |
179.997696°
|
| 781250 |
179.9995392°
|
| 3906250 |
179.99990784°
|
| 19531250 |
179.999981568°
|
| 97656250 |
179.9999963136°
|
| 488281250 |
179.99999926272°
|
| 2441406250 |
179.999999852544°
|
| 12207031250 |
179.9999999705088°
|
| 61035156250 |
179.99999999410176°
|
| 305175781250 |
179.999999998820352°
|
| 1525878906250 |
179.9999999997640704°
|
| 7629394531250 |
179.99999999995281408°
|
| 38146972656250 |
179.999999999990562816°
|
| 190734863281250 |
179.9999999999981125632°
|
| 953674316406250 |
179.99999999999962251264°
|
| 4768371582031250 |
179.999999999999924502528°
|
| 23841857910156250 |
179.9999999999999849005056°
|
| 119209289550781250 |
179.99999999999999689010112°
|
| 596046447753906250 |
179.999999999999999396020224°
|
| 2980232238769531250 |
179.9999999999999998792040448°
|
| 14901161193847656250 |
179.99999999999999997584080896°
|
| 74505805969238281250 |
179.999999999999999995168161792°
|
| 372529029846191406250 |
179.9999999999999999990336323584°
|
| 1862645149230957031250 |
179.99999999999999999980672647168°
|
| 9313225746154785156250 |
179.999999999999999999961345294336°
|
| 边数 |
每个内角大小
|
| 10 |
144°
|
| 100 |
176.4°
|
| 1000 |
179.64°
|
| 10000 |
179.964°
|
| 100000 |
179.9964°
|
| 1000000 |
179.99964°
|
| 10000000 |
179.999964°
|
| 100000000 |
179.9999964°
|
| 1000000000 |
179.99999964°
|
| 10000000000 |
179.999999964°
|
| 100000000000 |
179.9999999964°
|
| 1000000000000 |
179.99999999964°
|
| 10000000000000 |
179.999999999964°
|
| 100000000000000 |
179.9999999999964°
|
| 1000000000000000 |
179.99999999999964°
|
| 10000000000000000 |
179.999999999999964°
|
| 100000000000000000 |
179.9999999999999964°
|
| 1000000000000000000 |
179.99999999999999964°
|
| 10000000000000000000 |
179.999999999999999964°
|
| 100000000000000000000 |
179.9999999999999999964°
|
| 1000000000000000000000 |
179.99999999999999999964°
|
| 10000000000000000000000 |
179.999999999999999999964°
|
| 100000000000000000000000 |
179.9999999999999999999964°
|
| 1000000000000000000000000 |
179.99999999999999999999964°
|
| 边数 |
每个内角大小
|
| 36 |
170°
|
| 360 |
179°
|
| 3600 |
179.9°
|
| 36000 |
179.99°
|
| 360000 |
179.999°
|
| 3600000 |
179.9999°
|
| 36000000 |
179.99999°
|
| 360000000 |
179.999999°
|
| 3600000000 |
179.9999999°
|
| 36000000000 |
179.99999999°
|
| 360000000000 |
179.999999999°
|
| 3600000000000 |
179.9999999999°
|
| 36000000000000 |
179.99999999999°
|
| 360000000000000 |
179.999999999999°
|
| 3600000000000000 |
179.9999999999999°
|
| 36000000000000000 |
179.99999999999999°
|
| 360000000000000000 |
179.999999999999999°
|
| 3600000000000000000 |
179.9999999999999999°
|
| 36000000000000000000 |
179.99999999999999999°
|
| 360000000000000000000 |
179.999999999999999999°
|
| 3600000000000000000000 |
179.9999999999999999999°
|
| 36000000000000000000000 |
179.99999999999999999999°
|
| 360000000000000000000000 |
179.999999999999999999999°
|
