Question

Find the exact area of a circle having the given circumference. 8 pi

Answer 1

A = C^2/4*3.14

= 5.09

Answer 2

Answer: $16\pi\ \text{ units}^2$

Step-by-step explanation:

We know that the circumference of a circle is given by :-

$\text{Circumference}=2\pi r$, where r is the radius of the circle.

Given : The circumference of a circle = $8\pi$

Then , the circumference of a circle will be :-

$8\pi=2\pi r\\\\\Rightarrow\ r=4\text{ units}$

Now, the area of circle is given by :-

$A=\pi r^2\\\\\Rightarrow\ A=\pi(4)^2\\\\\Rightarrow\ A =16\pi\ \text{ units}^2$