Question

Find the exact area of a circle having the given circumference. 3pi A =

Answer 1

I think this is the solution:
2πr=3π
2r=3
r=3/2
πr2=9/4π

Answer 2

Answer: $2.25\ pi$

Step-by-step explanation:

We are given that the circumference of a circle = $3\pi$

Now, we know that the circumference of a circle is given by :-

$\text{Circumference}=2\pi r=\\\\\Rightarrow\ 3\pi=2\pi r\\\\\Rightarrow\ r=\dfrac{3}{2}\text{ units}$

Also, the area of a circle is given by :-

$\text{Area}=\pi r^2\\\\\Rightarrow\text{Area}=\pi(\dfrac{3}{2})^2=\dfrac{9}{4}\pi=2.25\pi$

Hence, the area of the circle = $2.25\ pi$