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, space, m, e, t, e, r, s. 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 m, start superscript, 2, end superscript

Respuesta :

Answer:

The area of each section of the circle is [tex]A=25\pi\ m^{2}[/tex]

Step-by-step explanation:

we know that

Each section represent a quarter of circle

The area of a quarter of circle is equal to

[tex]A=\frac{1}{4}\pi r^{2}[/tex]

we have

[tex]r=10\ m[/tex]

substitute

[tex]A=\frac{1}{4}\pi (10)^{2}[/tex]

[tex]A=25\pi\ m^{2}[/tex]