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.
+178 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.
