   Chapter 8.4, Problem 67E

Chapter
Section
Textbook Problem

Area of a LuneThe crescent shaped region bounded by two circles forms a lune (see figure).Find the area of the lune given that the radius of the smaller circle is 3 and the radius of the larger circle is 5. To determine

To calculate: The area of the lune.

Explanation

Given: Two circles, such that the radius of the smaller circle is 3 and the radius of the larger circle is 5.

Refer to the question for figure.

Calculation:

A=33(4+32x252x2)dxBecause of the symmetry in the y axis, you can rewrite the integral as:A=203(4+32x252x2)dxUse the Integration formula,a2u2du=12[u<

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