Respuesta :

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

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