Question

Express the sexagesimal measure ${270}^g$ as radian measure

Answer 1

Given:$D=270$

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

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

$\Rightarrow \frac{270}{90}=\frac{2C}{\pi }$

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

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