Question

Find area of circle if circumference is 16.502

Answer 1

The equation for the circumference of a circle is $C = 2 \pi r$, where C=circumference and r=radius of the circle.

You are told that the circumference is 16.502. Plug this into the equation for circumference to find the value of r, the radius:
$C = 2 \pi r\\ 16.502 = 2 \pi r\\ r = \frac{16.502}{2 \pi }$.

Now you know that r = $\frac{16.502}{2 \pi }$. The equation for the area of a circle is $A = \pi r^{2}$, where A = area and r = radius of the circle.

Since you know the radius, r = $\frac{16.502}{2 \pi }$, plug that into the equation for area and solve for the area of the circle:
$A = \pi r^{2}\\ A = \pi (\frac{16.502}{2 \pi })^{2} \\ A \approx 21.670$

The area of the circle is about 21.670.

Answer 2

Hi there!

To find the area of a circle using the circumference you need to use the following formula:

$A= \frac{ C^{2}}{4* \pi }$

Now to solve using this formula you need to plug in the circumference that you are given, which is 16.502:

$A= \frac{ 16.502^{2}}{4* \pi }$

Now square the circumference to get:

$A= \frac{272.316004}{4* \pi }$

Now you want to multiply 4 by π to approximately get:

$A= \frac{272.316004}{12.566370}$

Now you want to divide 272.316004 by 12.566370 to get:

$\boxed {A=21.670220...}$

-Your friend, ASIAX