   Chapter 8.4, Problem 33E 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

The radii of two concentric circles differ in length by exactly 1 in. If their areas differ by exactly 7π in2, find the lengths of the radii of the two circles.

To determine

To Find:

The lengths of radii of two concentric circles.

Explanation

Two circles with a common center are called concentric circles.

Calculation:

Let the length of the radius of the inner circle is r and the area is Ai and the length of the radius of the outer circle is R and the area is Ao.

The area of the inner circle is Ai=πr2.

The length of the radius of the outer circle is 1 in higher than the inner circle.

Therefore, the radius of the outer circle is R=r+1.

The area of the outer circle is.

Ao=πR2=π(r+1)2=π(r2+2r+1).

Now it becomes Ao=πr2+2πr+π

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

Find more solutions based on key concepts 