Question

Convert angle in radian to degree-

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

Short answer

The required value is,

$-\frac{3\mathrm{\pi }}{4}radians=-135°$

Step-by-step solution

Step 1. Given information

To convert $-\frac{3\mathrm{\pi }}{4}$radian to degree.

Step 2. Calculation

Converting from radian to degree,

$$\begin{gathered} -\frac{3\mathrm{\pi }}{4}radians=\left(-\frac{3\mathrm{\pi }}{4}\right).1radian \\ =\left(-\frac{3\mathrm{\pi }}{4}\right).\frac{180}{\mathrm{\pi }}degrees \\ =-\frac{540}{4}degrees \\ =-135° \end{gathered}$$