Question

A park has a large circle painted in the middle of the playground area. The circle is divided into 4 equal sections, and each section is painted a different color. The radius of the circle is 10 meters. What is the area A of each section of the circle? Give your answer in terms of pi.

Answer 1

First you need to find the area of the whole circle.$\pi r^{2}$
The radius is given as 10, so just insert 10 into the equation of the area of a circle equation. 
$Area = \pi 10^{2}   Area = 100 \pi$
Putting $\pi$ after the 100 because that is what is commonly done. 

Because the circle is then being split into 4 equal sections, we need to find 1/4 of the area of the whole circle to find the area of one of these sections. 

Since the area of the whole circle is $100 \pi$ then we just divide that by 4, 
leaving us with 25$\pi$ and that is our final answer