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

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isyllus isyllus · Answer 1 · 2020-12-19T02:22:36+01:00

Answer:

25[tex]\pi\ m^2[/tex]

Step-by-step 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, [tex]A[/tex] = ?

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 [tex]r[/tex]:

[tex]Area = \pi r^2[/tex]

Here, [tex]r = 10 m[/tex]

Putting the value in the above formula, we get:

So, area = [tex]\pi 10^2 = 100\pi\ m^2[/tex]

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

Area of each section of the circle:

[tex]\dfrac{100\pi}{4} = \bold{25 \pi}\ m^2[/tex]