Question

Express the following angles in radius measure
(i) ${135}^{\circ }$
(ii) ${270}^{\circ }$
(iii) ${315}^{\circ }$

Answer 1

Given,

$\left(i\right)$ ${135}^0$ to convert in radius.

${135}^0.\frac{\pi }{{180}^0}=\frac{3\pi }{4}$

$\left(ii\right)$ ${270}^0$ to convert in radius.

${270}^0.\frac{\pi }{{180}^0}=\frac{3\pi }{2}$

$\left(iii\right){315}^0$ convert in radius.

${315}^0.\frac{\pi }{{180}^0}=\frac{7\pi }{4}$