Find the area of a circle with a circumference of / color{blue}{6/pi}6πstart color blue, 6, pi, end color blue.

By definition, the circumference of a circle is given by:

C = 2πR.

Where,

R: radius of the circle.

Substituting we have:

6π = 2πR

We cleared R:

R = (6π) / (2π)

R = 3

Then, look for the area of the circle which will be given by:

A = πR ^ 2

Substituting the values:

A = π (3) ^ 2

A = 9π units ^ 2

Answer:

The area of the circle is:

A = 9π units ^ 2