Q. 68 - Precalculus Enhanced with Graphing Utilities

Question

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

$3$

Step-by-Step Solution

Answer

The required value is,

$3 radians=171.82°$

Step 1. Given information

To convert $3$ radians to degrees.

Step 2. Calculation

Converting from radians to degrees,

$$\begin{gathered} 3 radians=3.1radian \\ =3\times \frac{180}{\mathrm{\pi }}degrees \\ =3\times \frac{180}{{\displaystyle \raisebox{1ex}{$22$}\!\left/ \!\raisebox{-1ex}{$7$}\right.}}degrees \\ =171.82° \end{gathered}$$