Q. 61 - Precalculus Enhanced with Graphing Utilities

Question

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

$-40°$

Step-by-Step Solution

Answer

The required answer is $0.69radians$.

Step 1. Given Information

Given angle: $-40°$

Step 2. Formula Used

Use the following conversion formula

$1degree=\frac{\mathrm{\pi }}{180}radian$

Step 3. Calculation

We have, $-40°$

$-40°=-40·1°$

$=-40·\frac{\mathrm{\pi }}{180}radian$               use$\mathrm{\pi }=3.14$

$=0.69radian$