院系:李煌數學研究院/正多邊形內角大小(精確值)
正多邊形內角大小,指正多邊形每個內角大小,內角大小可以有三種情況包括整數、有限小數和無限循環小數。
角度與弧度轉換
編輯| 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 |
邊數(3-20)
編輯| 邊數 | 每個內角大小 |
|---|---|
| 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° |
邊數(200以內)
編輯| 邊數 | 每個內角大小 |
|---|---|
| 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° |
邊數(201-500)
編輯| 邊數 | 每個內角大小 |
|---|---|
| 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° |
邊數(4x2^n)
編輯| 邊數 | 每個內角大小 |
|---|---|
| 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° |
邊數(5x2^n)
編輯| 邊數 | 每個內角大小 |
|---|---|
| 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° |
邊數(3x2^n)
編輯| 邊數 | 每個內角大小 |
|---|---|
| 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° |
邊數(9x2^n)
編輯| 邊數 | 每個內角大小 |
|---|---|
| 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° |
邊數(5^n)
編輯| 邊數 | 每個內角大小 |
|---|---|
| 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° |
邊數(2x5^n)
編輯| 邊數 | 每個內角大小 |
|---|---|
| 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° |
邊數(10^n)
編輯| 邊數 | 每個內角大小 |
|---|---|
| 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° |
邊數(36x10^n)
編輯| 邊數 | 每個內角大小 |
|---|---|
| 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° |