内切圆的半径是根号3,外接圆的半径2的正多边形边数是 要全过程

Question

如题所述

Answer 1

内切圆半径为√3，外接圆半径为2
则每个边所对圆心角之半的余弦cos(θ/2) = √3/2
θ/2 =π/6
圆心角θ=π/3
边数n = 2π/(π/3) = 6

Answer 2

n=360/（2*artcos（（根号3）/2））=6

Answer 3

cos（a/2）=根号3/2=0.866
a=2*30°=60°
n=360°/60°=6
内切圆的半径是根号3,外接圆的半径2的正多边形边数是6.