Question

Problem A park has a large circle painted in the middle of the playground area. The circle is divided into 444 equal sections, and each section is painted a different color. The radius of the circle is 10 \text{ meters}10 meters10, start text, space, m, e, t, e, r, s, end text. What is the area AAA of each section of the circle? Give your answer in terms of pi. A=A=A, equals \text{m}^2m 2 start text, m, end text, squared

Answer 1

25
`\pi\ m^2`

Explanation:

Given that:

A large circle in the park has its middle part painted.

The circle is divided in 4 equal parts.

Radius of the circle = 10 meters

To find:

Area of each section of the circle,
`A` = ?

Solution:

Here, we need to find the area of the bigger circle first and then need to divide it into 4 equal parts to find out the answer.

First of all, let us have a look at the formula for area of a circle with given radius
`r`:

`Area = \pi r^2`

Here,
`r = 10 m`

Putting the value in the above formula, we get:

So, area =
`\pi 10^2 = 100\pi\ m^2`

Now, there are 4 equal parts of the circle, therefore area of each section will be equal.

Area of each section of the circle:

`(100\pi)/(4) = \bold{25 \pi}\ m^2`