Q. 70 - Precalculus Enhanced with Graphing Utilities

Question

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

$\sqrt{2}$

Step-by-Step Solution

Answer

The required value is,

$\sqrt{2}=80.99°$

Step 1. Given information

To convert $\sqrt{2}$ radians to degrees.

Step 2. Calculation

Converting from radians to degrees,

$$\begin{gathered} \sqrt{2} radians=\sqrt{2}.1radian \\ =\sqrt{2}\times \frac{180}{\mathrm{\pi }}degrees \\ =\sqrt{2}\times \frac{180}{{\displaystyle \raisebox{1ex}{$22$}\!\left/ \!\raisebox{-1ex}{$7$}\right.}}degrees \\ =80.99° \end{gathered}$$