Question

From radians to degree

Find the degree measure of the angle $\frac{3\pi }{4}$radians.

Short answer

Angle in degrees is${\mathbf{135}}^{\mathbf{\circ }}$

Step-by-step solution

Step 1. Given information.

An angle of $\frac{3\pi }{4}$and we have to convert it in degrees.

Step 2. Concept used.

We must multiply a radian by$\frac{180}{\pi }$ in order to convert it to degrees.

The answer will be in degrees.

Step 3. Calculation.

Here is the calculation-

$\begin{array}{l}1=\frac{{180}^{\circ }}{\pi }\\ \frac{3\pi }{4}=\frac{180}{\pi }\times \frac{3\pi }{4}\\ \Rightarrow {135}^{\circ }\end{array}$