Question

the radian measure of interior angles of regular polygon of 12 side is

Answer 1

Answer:

$\frac{5\pi }{6}radian$

Step-by-step explanation:

We know that,

The Sum of all interior angles of regular polygon with 12 sides

=$\frac{180^{o}(n-2) }{n}$

=$\frac{180^{o}(12-2) }{12}$

=$\frac{180^{o}X10 }{12}$

=$150^{o}$

Therefore,

$180^{o}=\pi radian\\\\1^{o}=\frac{\pi }{180} radian\\\\150^{o}=\frac{\pi X150}{180} radian=\frac{5\pi }{6}radian$