Question

how many radians is 60°?
$\frac{pi}{6}$ radians $\frac{pi}{3}$ radians $\frac{pi}{2}$ radians $\frac{pi}{4}$ radians

Explanation:

Step1: Convert degrees to radians

To convert degrees to radians, use the formula: \( \text{Radians} = \text{Degrees} \times \frac{\pi}{180} \).
For \( 60^{\circ} \), we have \( 60\times\frac{\pi}{180} \).

Step2: Simplify the expression

Simplify \( 60\times\frac{\pi}{180} \).
\( 60\times\frac{\pi}{180}=\frac{60\pi}{180}=\frac{\pi}{3} \) (divide numerator and denominator by 60).

Answer:

\(\frac{\pi}{3}\) radians