Chapter 13: Q. 36 (page 713)

Rewrite each degree measure in radians and each radian measure in degrees if the angle is $\frac{11 π}{4}$ .

Short Answer

Expert verified

The degree measure of angle $\frac{11 π}{4}$ is $495 °$ .

Step by step solution

Step 1. Write down the given information.

The given angle in degrees measure is $\frac{11 π}{4}$ .

Step 2. Concept used.

From the degree – radian conversion rule.

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

Step 3. Convert degrees measures to radians.

The angle $\frac{11 π}{4}$ in degrees units is evaluated with the help of concept (1) stated above.

$\begin{array}{l} \frac{11 π}{4} = \frac{11}{4} (π) \\ = \frac{11}{4} \times (180^{°}) \\ = 495^{°} \end{array}$

Step 4. Conclusion.

The degree measure of angle $\frac{11 π}{4}$ is $495 °$ .

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Rewrite each degree measure in radians and each radian measure in degrees if the angle is $\frac{11 π}{4}$ .

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 11π4.

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

Pure Maths

Calculus

Applied Mathematics

Mechanics Maths

Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Rewrite each degree measure in radians and each radian measure in degrees if the angle is $\frac{11 π}{4}$ .