Book edition 7th Edition

Author(s) James Stewart, Lothar Redlin, Saleem Watson

Pages 948 pages

ISBN 9781337067508

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Short Answer

Find the degree measure of the angle with the given radian measure.
$\frac{5 π}{18}$

$50^{°}$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

The given radian measure is:

$\frac{5 π}{18}$ rad.

Step 2. Explanation.

We know that

$1 radian = (\frac{180^{\circ}}{π})$

Thus to find the degrees of the angle multiply the radian measure with $(\frac{180^{\circ}}{π})$

Here the radian measure $π$ is not available so when we multiply put $π = 3.14$

Step 3. Calculation.

To convert radians to degrees, multiply by $(\frac{180^{\circ}}{π})$ :

$\frac{5 π}{18} rad = (\frac{5 π}{18} x \frac{180}{π})$

Put $π = 3.14$ in the expression, we get:

$\begin{array}{l} = {(\frac{5 x 3.14}{18} x \frac{180}{3.14})}^{\circ} \\ = {(\frac{5 x 180}{18})}^{^{\circ}} \\ = 50^{^{\circ}} \end{array}$

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Precalculus Mathematics for Calculus

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Short Answer

Find the degree measure of the angle with the given radian measure.
$\frac{5 π}{18}$

Step by Step Solution

Step 1. Given information.

Step 2. Explanation.

Step 3. Calculation.

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Precalculus Mathematics for Calculus

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Find the degree measure of the angle with the given radian measure.5π18

Step by Step Solution

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Find the degree measure of the angle with the given radian measure.
$\frac{5 π}{18}$