Q. 65 - Precalculus Enhanced with Graphing Utilities

Question

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

 $3.14$

Step-by-Step Solution

Answer

The required value is,

$3.14 radians=179.84°$

Step 1. Given information

To convert $3.14$ radians to degrees.

Step 2. Calculation

Converting from radians to degrees,

$$\begin{gathered} 3.14radians=3.14\times 1radian \\ =3.14\times \frac{180}{\mathrm{\pi }}degrees \\ =3.14\times \frac{180}{{\displaystyle \raisebox{1ex}{$22$}\!\left/ \!\raisebox{-1ex}{$7$}\right.}}degrees \\ =179.84° \end{gathered}$$