In order to determine the area of the circle, use the following formula:
A = π r²
where r is the radius of the circle.
Then, it is necessary to find the value of r first. To do that, use the following formula for the CIrcumference of a circle:
C = 2π r
where C is the circumference. Use the gvein information C = 3π cm, and solve for r:
C = 3π cm = 2π r divide by 2π both sides and simplify
r = 3/2 cm
Next, replace the previous value of r into the expression for A:
A = π(3/2 cm)² = π(9/4 cm²) = 9/4 π cm²
Hence, the area of the circle is 9/4 π cm²