Chapter 13: Q. 10 (page 712)

Rewrite each degree measure in radians and each radian measure in degrees if the angle is $485 °$ .

Short Answer

Expert verified

The degree measure in radians of angle $485 °$ is $\frac{97 π}{36} rad$ .

Step by step solution

Step 1. Write down the given information.

The given angle in degrees measure is $485 °$ .

Step 2. Concept used.

From the degree – radian conversion rule.

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

Step 3. Convert degrees measures to radians.

The angle $485 °$ in radian units is evaluated with the help of concept (1) stated above.

$\begin{array}{l} 485^{°} = 485^{°} \times \frac{π}{180^{°}} rad \\ = \frac{97 π}{36} rad \end{array}$

Step 4. Conclusion.

The degree measure in radians of angle $485 °$ is $\frac{97 π}{36} rad$ .

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Rewrite each degree measure in radians and each radian measure in degrees if the angle is $485 °$ .

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Concept used.

Step 3. Convert degrees measures to radians.

Step 4. Conclusion.

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Rewrite each degree measure in radians and each radian measure in degrees if the angle is 485°.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Concept used.

Step 3. Convert degrees measures to radians.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Discrete Mathematics

Mechanics Maths

Applied Mathematics

Geometry

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Rewrite each degree measure in radians and each radian measure in degrees if the angle is $485 °$ .