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Q. 37

Expert-verified
Found in: Page 365

### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

# Convert each angle in degrees to radians. Express your answer as a multiple of $\mathrm{\pi }$.$240°$

The required measure of angle is $\frac{4\mathrm{\pi }}{3}radians$.

See the step by step solution

## Step 1. Given Information

Given angle: $240°$

## Step 2. Formula Used

We need to use the following conversion formula,

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

## Step 3. Calculation

We have the angle, $240°$

$240°=240·1°$

$=240·\frac{\mathrm{\pi }}{180}radian$

$=\frac{4\mathrm{\pi }}{3}radians$