Question

convert the angle in radians to degrees.
10 radians

10 radians = \\(\square\\)°
(round to two decimal places as needed.)

Explanation:

Step1: Recall radian-degree conversion

To convert radians to degrees, use the formula: $\text{Degrees} = \text{Radians} \times \frac{180^\circ}{\pi}$

Step2: Substitute the given value

Substitute 10 radians into the formula:
$\text{Degrees} = 10 \times \frac{180^\circ}{\pi}$

Step3: Calculate and round

Compute the value: $10 \times \frac{180}{\pi} \approx 10 \times 57.2958 = 572.958$
Round to two decimal places: $572.96$

Answer:

$572.96^\circ$