Question

convert the radian measure to degrees.
\frac{28\pi}{15}

Explanation:

Step1: Recall radian to degree formula

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

Step2: Substitute the given radian measure

We are given the radian measure \( \frac{28\pi}{15} \). Substitute this into the formula:
\( \frac{28\pi}{15} \times \frac{180^\circ}{\pi} \)

Step3: Simplify the expression

The \( \pi \) in the numerator and denominator cancels out. Then we have \( \frac{28}{15} \times 180^\circ \).
Calculate \( \frac{28\times180}{15} \). First, \( 180\div15 = 12 \), then \( 28\times12 = 336 \). So the result is \( 336^\circ \).

Answer:

\( 336^\circ \)