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.

First you need to find the area of the whole circle.[tex] \pi r^{2} [/tex]
The radius is given as 10, so just insert 10 into the equation of the area of a circle equation. 
[tex]Area = \pi 10^{2}
  Area = 100 \pi [/tex]
Putting [tex] \pi [/tex] 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 [tex]100 \pi [/tex] then we just divide that by 4, 
leaving us with 25[tex] \pi [/tex] and that is our final answer