What is the area,in square centimeters,of a circle that has a circumference of 16 centimeters?

Question

asked Jun 6, 2020 199k views

1 Answer

Vineet Pandey · Answer 1 · 2020-06-10T09:36:47+0000

Answer:
$20.38\ cm^2$

Explanation:

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

$C=2\pi r$ , where r is the radius of the circle .

Given : Circumference of circle = 16 cm

Then,
$16=2\pi r$

i.e
$r=(16)/(2\pi)=(8)/(\pi)$ (1)

We know that the area of circle is given by :-

$A=\pi r^2$

i.e.
$A=\pi ((8)/(\pi))^2$ [From (1)]

i.e.
$A=\pi ((64)/(\pi^2))$

i.e.
$A=(64)/(\pi)$

Put
$\pi=3.14$

$A=(64)/(3.14)=20.3821656051approx20.38\ cm^2$

Hence, area of circle =
$20.38\ cm^2$