Question

convert the angle in radians to degrees.
$\frac{pi}{3}$ radians
$\frac{pi}{3}$ radians = $square^{circ}$
(type an integer or a simplified fraction. type an exact answer, using $pi$ as needed.)

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 angle in degrees and $R$ is the angle in radians.

Step2: Substitute the given value

Given $R = \frac{\pi}{3}$, substituting into the formula gives $D=\frac{\pi}{3}\times\frac{180^{\circ}}{\pi}$.

Step3: Simplify the expression

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

Answer:

$60$