Question

convert the angle in radians to degrees.
\frac{3pi}{2} radians
\frac{3pi}{2} radians = square^{circ}
(type an integer or a simplified fraction. type an exact answer, using pi as needed.)

Explanation:

Step1: Recall conversion formula

We know that to convert radians to degrees, we 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 given value

Here $R=\frac{3\pi}{2}$, so $D=\frac{3\pi}{2}\times\frac{180^{\circ}}{\pi}$.

Step3: Simplify the expression

The $\pi$ terms cancel out. $\frac{3}{2}\times180 = 3\times90=270$.

Answer:

$270$