Q. 52 - Precalculus Enhanced with Graphing Utilities

Question

Convert angle in radian to degree-

$4\mathrm{\pi }$

Step-by-Step Solution

Answer

The required value is,

$4\mathrm{\pi radians}=720°$

Step 1. Given information

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

Step 2. Calculation

Converting from radian to degree,

$$\begin{gathered} 4\mathrm{\pi radians}=4\mathrm{\pi }.1\mathrm{radian} \\ =4\mathrm{\pi }.\frac{180}{\mathrm{\pi }}\mathrm{degrees} \\ =720° \end{gathered}$$