Question

find the degree measure of the angle with the given radian measure. $-\frac{3pi}{2}$

Explanation:

Step1: Recall conversion formula

To convert radians to degrees, use the formula $D = R\times\frac{180^{\circ}}{\pi}$, where $D$ is the degree - measure and $R$ is the radian - measure.

Step2: Substitute the given radian value

Given $R =-\frac{3\pi}{2}$, then $D=-\frac{3\pi}{2}\times\frac{180^{\circ}}{\pi}$.

Step3: Simplify the expression

The $\pi$ terms cancel out, and $-\frac{3}{2}\times180^{\circ}=- 270^{\circ}$.

Answer:

$-270$