Question

The center of a soccer field has an area of 100=" \pi " align="absmiddle" class="latex-formula">m squared. Find the circumference of the center circle.

Answer 1

The formula for the area of a circle is A=πr². To find the circumference, we must find the radius, r. To do this, we plug in the area for A in the first formula, then plug it in to the circumference formula:
$100 \pi = \pi r^{2} \\ \frac{100 \pi }{ \pi } = \frac{ \pi r^{2} }{ \pi } \\ 100= r^{2} \\ \sqrt{100}= \sqrt{r^{2} } \\ r=10m$

Now we know that r=10 meters. Now we plug this into the circumference formula, C=2πr.
$C=2 \pi 10 \\ C=20 \pi$

The answer is 20π meters.

Hope this helps!