Q. 67 - Precalculus Enhanced with Graphing Utilities

Question

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

$2$

Step-by-Step Solution

Answer

The required value is,

$2 radians=114.55°$

Step 1. Given information

To convert 2 radians to degrees.

Step 2. Calculation

Converting from radians to degrees,

$$\begin{gathered} 2 radians=2.1radian \\ =2\times \frac{180}{\mathrm{\pi }}degrees \\ =2\times \frac{180}{{\displaystyle \raisebox{1ex}{$22$}\!\left/ \!\raisebox{-1ex}{$7$}\right.}}degrees \\ =114.55° \end{gathered}$$