Q. 42 - Precalculus Enhanced with Graphing Utilities

Question

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

$270°$

Step-by-Step Solution

Answer

The required measure of angle is $\frac{3\mathrm{\pi }}{2}radians$.

Step 1. Given Information

Given angle: $270°$

Step 2. Formula used

We need to use the following conversion formula,

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

Step 3. Calculation

We have, $270°$

$270°=270·1°$

$=270·\frac{\mathrm{\pi }}{180}radian$

$=\frac{3\mathrm{\pi }}{2}radians$