what is $\frac{pi}{3}$ radians converted to degrees? if necessary, round your answer to the nearest…

what is $\frac{pi}{3}$ radians converted to degrees? if necessary, round your answer to the nearest degree.\n30°\n45°\n60°\n90°

what is $\frac{pi}{3}$ radians converted to degrees? if necessary, round your answer to the nearest degree.\n30°\n45°\n60°\n90°

Answer

Explanation:

Step1: Recall conversion formula

We know that to convert radians to degrees, we use the formula $D = R\times\frac{180^{\circ}}{\pi}$, where $D$ is the measure in degrees and $R$ is the measure in radians.

Step2: Substitute the given value

Given $R=\frac{\pi}{3}$, then $D=\frac{\pi}{3}\times\frac{180^{\circ}}{\pi}$. The $\pi$ terms cancel out, and $\frac{180^{\circ}}{3}=60^{\circ}$.

Answer:

C. $60^{\circ}$