Question

convert the angle in radians to degrees. 10 radians
10 radians = (square^{circ}) (round to two decimal places as needed.)

Explanation:

Step1: Recall conversion formula

To convert radians to degrees, 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 value of $R$

Given $R = 10$ radians, then $D=10\times\frac{180^{\circ}}{\pi}$.

Step3: Calculate the value

$D=\frac{1800^{\circ}}{\pi}\approx572.96^{\circ}$ (using $\pi\approx3.14159$ and rounding to two - decimal places).

Answer:

$572.96$