If the circumference of a circle measures 3/2pi cm, what is the area of the circle in terms of pi?

A. 3/4pi cm^2
B. 9/2pi cm^2
C. 9/4pi cm^2
D. 9/16pi cm^2

D - Area = 9/16pi cm²

Step-by-step explanation:

in order to evaluate this question , we will first of all find the radius using the formula for finding the circumference of a circle , we will then find the area of a circle.

solution

given that circumference of a circle = 3/2picm

recall that the formula for finding the circumference of a circle = 2πr

3/2picm = 2πr

multiply through by 2

3picm = 4pir

divide both side by 4pi

3pi cm/4pi = r

r = 3/4 picm

Recall that the Area of  a circle = πr²

Area = pi ( 3/4)² cm

Area = 9/16pi cm²