Chapter 13: Q. 28 (page 713)

Rewrite each degree measure in radians and each radian measure in degrees if the angle is $60 °$ .

Short Answer

Expert verified

The degree measure in radians of angle $60 °$ is $\frac{π}{3} rad$ .

Step by step solution

Step 1. Write down the given information.

The given angle in degrees measure is $60 °$ .

Step 2. Concept used.

From the degree – radian conversion rule.

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

Step 3. Convert degrees measures to radians.

The angle $60 °$ in radian units is evaluated with the help of concept (1) stated above.

$\begin{array}{l} 60^{°} = 60^{°} \times \frac{π}{180^{°}} rad \\ = \frac{π}{3} rad \end{array}$

Step 4. Conclusion.

The degree measure in radians of angle $60 °$ is $\frac{π}{3} rad$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Rewrite each degree measure in radians and each radian measure in degrees if the angle is $60 °$ .

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

Mechanics Maths

Pure Maths

Decision Maths

Theoretical and Mathematical Physics

Discrete Mathematics

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 60°.

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

Mechanics Maths

Pure Maths

Decision Maths

Theoretical and Mathematical Physics

Discrete Mathematics

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 $60 °$ .