/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 64 Convert the angle measure from r... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 64

Convert the angle measure from radians to degrees. Round to three decimal places. $$\frac{5 \pi}{11}$$

Short Answer

Expert verified
The angle measure in degrees of \( \frac{5 \pi}{11} \) radians is approximately 81.818 degrees.

Step by step solution

01

Understand the Conversion Factor

To convert radians into degrees, a known concept is that pi radians equals to 180 degrees. Therefore, the conversion factor is \( \frac{180}{\pi} \) degrees per radian.
02

Multiply the Radian Measure by Conversion Factor

To convert the angle from radians to degrees, the radian measure should be multiplied by the conversion factor. The operation is as follows: \( \frac{5 \pi}{11} \times \frac{180}{\pi} \)
03

Simplify the Expression

Simplification reveals that the pi in the numerator and the denominator cancel out, leaving the computation as \( \frac{5 \times 180}{11} \)
04

Computation

After computing the value, it is found to be approximately 81.818. Round it to three decimal places to get 81.818 degrees

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Exercises 1-16, evaluate the expression without using a calculator. $$ \sin ^{-1} \frac{\sqrt{3}}{2} $$

$$ \text { In Exercises 49-58, find the exact value of the expression. } $$ $$ \sin \left(\arctan \frac{3}{4}\right) $$

In Exercises 43-48, use the properties of inverse trigonometric functions to evaluate the expression. $$ \arcsin (\sin 3 \pi) $$

In Exercises 19-34, use a calculator to evaluate the expression. Round your result to two decimal places. $$ \arcsin \frac{3}{4} $$

$$ \text { In Exercises 49-58, find the exact value of the expression. } $$ $$ \cos \left(\tan ^{-1} 2\right) $$
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.