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.

`image`
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