Geometry For Enjoyment And Challenge
Geometry For Enjoyment And Challenge
91st Edition
ISBN: 9780866099653
Author: Richard Rhoad, George Milauskas, Robert Whipple
Publisher: McDougal Littell
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Chapter 16.2, Problem 3PS
To determine

To find: Thevalue of a+b+c .

Expert Solution & Answer
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Answer to Problem 3PS

The value of a+b+c is 81 .

Explanation of Solution

Given information:

The given figure is,

  Geometry For Enjoyment And Challenge, Chapter 16.2, Problem 3PS

Calculate the diameter of the circle as,

  D=1642x2=1616x2unit

The area of the circle is calculated as,

  A=π4D2=π4(1616x2)2=64π16x2unit2

The given expression for the area is,

  A=aπbcx2

Compare the given and calculated area to obtain,

  a=64b=16c=1

The value of a+b+c is calculated as,

  a+b+c=64+16+1=81

Thus, the value of a+b+c is 81 .

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