Question

Find the radian measure of the interior angle of regular hexagon.

Answer 1

Hexagon has $6$ sides

Each exterior angle $=\frac{{360}^o}{6}={60}^o$

Each interior angle $={180}^o-{60}^o={120}^o$

${180}^o$ equals to $\pi$ radians

${120}^o=(\frac{\pi }{{180}^o}\times {120}^o)=\frac{2\pi }{3}$