Question

An oval track is made by enclosing semicircles on each end of a 60 m by 120 m rectangle. Find the area enclosed by the track. Use 3.14 for pi.

Answer 1

10026 m²

Explanation:

Since there are two semicircles attached to the rectangle, we can just say that that is one circle.

1. The area of the rectangle: length * width = 60 * 120 = 7200 m².

2. The area of the circle: πr²

a. The radius of the circle: Since the circle is attached to the end of the rectangle, that means that the diameter would be the same length as the width. So, it would be 60 m, therefore, the radius is 30 m.

b. πr² = 3.14*30² = 3.14*900 = 2826 m².

3. Total: 2826 + 7200 = 10026 m².