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. a = □ m²

Explanation:

Step1: Calculate total area of circle

The area of a circle is \( A_{\text{total}} = \pi r^2 \). Given radius \( r = 10 \, \text{m} \), so \( A_{\text{total}} = \pi (10)^2 = 100\pi \, \text{m}^2 \).

Step2: Find area of each section

The circle is divided into 4 equal sections, so area of each section \( A = \frac{A_{\text{total}}}{4} = \frac{100\pi}{4} = 25\pi \, \text{m}^2 \).

Answer:

25π