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?
Answer:
The area of each section of circle is 78.5 square meter
Solution:
The radius of circle is 10 meters
Let us first find the area of large circle
The area of circle is given by formula:
[tex]Area = \pi r^2[/tex]
Where, "r" is the radius of circle
Substitute r = 10 in formula
[tex]Area = 3.14 \times 10^2\\\\Area = 3.14 \times 100\\\\Area = 314[/tex]
Thus area of large circle is 314 square meter
The circle is divided into 4 equal sections
Area of each section of the circle = Area of large circle divided by 4
[tex]Area\ of\ each\ section\ of\ the\ circle = \frac{314}{4} = 78.5[/tex]
Thus area of each section of circle is 78.5 square meter
