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`

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=(3)/(2)\text{ units}`

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

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

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