Question

Express the sexagesimal measure ${72}^{\circ }$ as radian measure

Answer 1

Given:$D=72$

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

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

$\Rightarrow \frac{72}{90}=\frac{2C}{\pi }$

$\Rightarrow \frac{4}{5}=\frac{2C}{\pi }$

$\Rightarrow C=\frac{4\pi }{10}=\frac{2\pi }{5}$radians