   Chapter 8.5, Problem 29E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In a circle whose radius has length 12 m, the length of an arc is 6 π m. What is the degree measure of that arc?

To determine

To find:

The degree measure of an arc.

Explanation

Formula:

Length of an arc:

In a circle whose circumference is C, the length l of an arc whose degree measure is m is given by:

l=m360×C

We know that, circumference of a circle is given by 2πr where r is the radius of circle.

Hence, length l of an arc =m360×2πr

Calculation:

The radius of circle is given as 12 m. Thus, r=12 m

The length of arc is given as 6π m.

We know that, if m is the degree measure of an arc in a circle of radius r, then length of the arc is given by the formula:

Length of arc =m360×2πr

Let’s substitute the values of r and length of arc to find the value of m

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Fill in each blank: 56floz=pt

Elementary Technical Mathematics

In Exercises 1728, use the logarithm identities to obtain the missing quantity.

Finite Mathematics and Applied Calculus (MindTap Course List)

If x = ln( sec + tan ), show that sec = cosh x.

Single Variable Calculus: Early Transcendentals, Volume I

Solve the differential equation. 6. y y = ex

Single Variable Calculus: Early Transcendentals

True or False: If h'(x) = k(x), then k(x) is an antiderivative of h(x).

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 