Question

convert each angle in radians to degrees.

$\frac{3\mathrm{\pi }}{4}$

Short answer

Thus,$\frac{3\mathrm{\pi }}{4}radian={135}^{\circ }$

Step-by-step solution

Step 1. Given

Given angle to be converted into degree.

$\frac{3\mathrm{\pi }}{4}$

Step 2. Concept

We know

$1degree=\frac{180}{\mathrm{\pi }}radian.$

Step 3. Calculation

Consider

$$\begin{gathered} 1degree=\frac{180}{\mathrm{\pi }}radian \\ =\left(\frac{3\mathrm{\pi }}{4}\right)\left(\frac{180}{\mathrm{\pi }}\right) \\ ={135}^{\circ } \end{gathered}$$