Question

Express the radian measure ${2\pi }^c$ as sexagesimal measure.

Answer 1

Given:$C=2\pi$

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

$\frac{D}{90}=\frac{2\times 2\pi }{\pi }$

$\frac{D}{90}=4$

$D=90\times 4=360$

$\therefore D={360}^{\circ }$