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

Question

asked Sep 14, 2019 146k views

2 Answers

Mikko Ohtamaa · Answer 1 · 2019-09-19T04:31:26+0000

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

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 :-

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