Question

Convert angle in radian to degree-

$-\frac{5\mathrm{\pi }}{4}$

Short answer

The required value is,

$-\frac{5\mathrm{\pi }}{4}radian=225°$

Step-by-step solution

Step 1. Given information

To convert $-\frac{5\mathrm{\pi }}{4}$radian to degree.

Step 2. Calculation

Converting from radian to degree,

$$\begin{gathered} -\frac{5\mathrm{\pi }}{4}radian=\left(-\frac{5\mathrm{\pi }}{4}\right).1radian \\ =\left(-\frac{5\mathrm{\pi }}{4}\right).\frac{180}{\mathrm{\pi }}degrees \\ =\left(-\frac{900}{4}\right)degrees \\ =-225° \end{gathered}$$