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Expert-verified Found in: Page 712 ### Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903 # Rewrite each degree measure in radians and each radian measure in degrees if the angle is $130°$.

The degree measure in radians of angle $130°$ is $\frac{13\pi }{18}\text{rad}$.

See the step by step solution

## Step 1. Write down the given information.

The given angle in degrees measure is $130°$.

## Step 2. Concept used.

From the degree – radian conversion rule.

$\pi \text{Radian}=180{}^{\circ }....\left(1\right)$

## Step 3. Convert degrees measures to radians.

The angle $130°$ in radian units is evaluated with the help of concept (1) stated above.

$\begin{array}{c}130°=130°×\frac{\pi }{180°}\text{\hspace{0.17em}Radian}\\ =\frac{13\pi }{18}\text{rad}\end{array}$

## Step 4. Conclusion.

The degree measure in radians of angle $130°$ is $\frac{13\pi }{18}\text{rad}$. ### Want to see more solutions like these? 