Question

From radians to degree

Find the degree measure of the angle$-\frac{3\pi }{2}$ radians.

Short answer

Angle in degrees is$\mathbf{-}{\mathbf{270}}^{\mathbf{\circ }}$

Step-by-step solution

Step 1. Given information.

An angle of$-\frac{3\pi }{2}$ and we have to convert it in degrees.

Step 2. Concept used.

To convert the given angle from radian into degrees, multiply the angle with $\frac{180}{\pi }$.

The answer will be in degrees.

Step 3. Calculation.

Here is the calculation-

$\begin{array}{l}1=\frac{{180}^{\circ }}{\pi }\\ -\frac{3\pi }{2}=\frac{180}{\pi }\times (-\frac{3\pi }{2})\\ \Rightarrow -{270}^{\circ }\end{array}$