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Q8.

Expert-verifiedFound in: Page 712

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 $130\xb0$.**

The degree measure in radians of angle $130\xb0$ is $\frac{13\pi}{18}\text{rad}$.

The given angle in degrees measure is $130\xb0$.

From the degree – radian conversion rule.

$\pi \u200a\text{Radian}=180{}^{\circ}....\left(1\right)$

The angle $130\xb0$ in radian units is evaluated with the help of concept (1) stated above.

$\begin{array}{c}130\xb0=130\xb0\times \frac{\pi}{180\xb0}\text{\hspace{0.17em}Radian}\\ =\frac{13\pi}{18}\text{rad}\end{array}$

The degree measure in radians of angle $130\xb0$ is $\frac{13\pi}{18}\text{rad}$.

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