Question

convert the angle in radians to degrees.
$\frac{9pi}{5}$ radians
$\frac{9pi}{5}$ radians = $square^{circ}$

Explanation:

Step1: Recall conversion formula

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

Step2: Substitute the given value

Given $R=\frac{9\pi}{5}$, substitute it into the formula: $D=\frac{9\pi}{5}\times\frac{180^{\circ}}{\pi}$.

Step3: Simplify the expression

The $\pi$ terms cancel out. We have $D=\frac{9\times180^{\circ}}{5}$. Since $180\div5 = 36$, then $9\times36^{\circ}=324^{\circ}$.

Answer:

$324$