Question

Convert $\frac{\pi }{4}$ radians to degrees

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

Answer 1

The correct option is B ${45}^{\circ }$

We know that
$1\text{rad}=\frac{{360}^{\circ }}{2\pi }$

$\frac{\pi }{4}\text{rad}=\frac{360}{2\pi }\times \frac{\pi }{4}={45}^{\circ }$