Question

Convert $\frac{\pi }{3}$ radians to degrees.

• A. ${30}^{\circ }$
• B. ${45}^{\circ }$
• C. ${60}^{\circ }$
• D. ${80}^{\circ }$

Answer 1

The correct option is C ${60}^{\circ }$

We know that,
$2\pi \text{rad}={360}^{\text{o}}$

$1\text{rad}=\frac{{360}^{\text{o}}}{2\pi }$

$\frac{\pi }{3}\text{rad}=\frac{{360}^{\circ }}{2\pi }\times \frac{\pi }{3}$
$={60}^{\circ }$