Question

Express the sexagesimal measure ${108}^g$ as radian measure

Answer 1

Given:$D=108$

We know that $\frac{D}{90}=\frac{2C}{\pi }$

$\Rightarrow \frac{D}{90}=\frac{2C}{\pi }$

$\Rightarrow \frac{108}{90}=\frac{2C}{\pi }$

$\Rightarrow \frac{6}{5}=\frac{2C}{\pi }$

$\Rightarrow C=\frac{6\pi }{10}=\frac{3\pi }{5}$radians