Q. 69 - Precalculus Enhanced with Graphing Utilities

Question

Convert the angle in radians to degrees . Express your answer in decimal form, rounded to two decimal places-

$6.32$

Step-by-Step Solution

Answer

The required value is,

$6.32 radians=361.96°$

Step 1. Given information

To convert $6.32$ radians to degrees.

Step 2. Calculation

Converting from radians to degrees,

$$\begin{gathered} 6.32radians=6.32\times 1radian \\ =6.32\times \frac{180}{\mathrm{\pi }}degrees \\ =6.32\times \frac{180}{{\displaystyle \raisebox{1ex}{$22$}\!\left/ \!\raisebox{-1ex}{$7$}\right.}}degrees \\ =361.96° \end{gathered}$$