Question

Convert ${30}^{\circ }$ into radians.

• A. $\frac{\pi }{2}\text{rad}$
• B. $\frac{\pi }{6}\text{rad}$
• C. $\frac{\pi }{3}\text{rad}$
• D. $\frac{\pi }{4}\text{rad}$

Answer 1

The correct option is B $\frac{\pi }{6}\text{rad}$

We know that,
$1^{\circ }=\frac{2\pi }{{360}^0}\text{rad}$
So, ${30}^{\circ }=\frac{2\pi }{{360}^{\circ }}\times 30\text{rad}$
$=\frac{\pi }{6}\text{rad}$