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Q8.

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Algebra 2

Found in: Page 712

Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

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Short Answer

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 $\frac{13 π}{18} rad$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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.

$π Radian = 180 {}^{\circ}. . . . (1)$

Step 3. Convert degrees measures to radians.

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

$\begin{matrix} 130 ° = 130 ° \times \frac{π}{180 °} Radian \\ = \frac{13 π}{18} rad \end{matrix}$

Step 4. Conclusion.

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

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