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What is the area of a circle with circumference 6pi?

AdminMod2  Aug 17, 2017
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 #1
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Area = Pi x Radius^2

Diameter = Circumference / Pi

                  = 6Pi / Pi

                  = 6

Radius = Diameter / 2

              = 6 / 2

              = 3

Area = Pi x 3^2

         = 9Pi  square units.

Guest Aug 17, 2017
 #2
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The equation between a circle's radius and its circumference is as followed:

\(Circumference=2πr\), with r being the radius.

Plug \(6π\) into the equation:

\(2πr=6π\)

\(2r=6\)

\(r=3\)

We obtained the radius of your circle, now use the equation between a circle's radius to its area:

\(Area=πr^2\)

Plug \(r=3\) into the equation

\(Area=π*3^2\)

\(=9π\)

Q.E.D.

Jeffes02  Aug 17, 2017

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