Question

Express the sexagesimal measure ${135}^g$ as radian measure

Answer 1

Given:$D=135$

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

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

$\Rightarrow \frac{135}{90}=\frac{2C}{\pi }$

$\Rightarrow \frac{3}{2}=\frac{2C}{\pi }$

$\Rightarrow C=\frac{3\pi }{4}$ radians.