   Chapter 8.4, Problem 32E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

# Given a circle with diameter of length d , Explain why A c i r c l e = 1 4 π d 2 .

To determine

To explain:

Acircle=14πd2, for circle with a diameter of d.

Explanation

It is given that the diameter of the circle is d.

Therefore, the length of the radius of the circle is r=d2.

We know that, the area of the circle is πr2.

To find area of the circle Acircle, Substitute r=d2.

Therefore, the area of the circle is Acircle=π(d2)2

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