Question

convert the angle in radians to degrees.
15 radians
15 radians = □°
(round to two decimal places as needed.)

Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the given value

We have 15 radians. Substitute into the formula: \( 15 \times \frac{180^\circ}{\pi} \)

Step3: Calculate the value

First, calculate \( 15\times180 = 2700 \). Then divide by \( \pi \): \( \frac{2700}{\pi} \approx 859.44 \) (rounded to two decimal places)

Answer:

\( 859.44 \)