Question

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

$-40°$

Short answer

The required answer is$0.69radians$.

Step-by-step solution

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$\mathrm{\pi }=3.14$

$=0.69radian$