In order to calculate the area of the playing field, we need to break it down into shapes.
The playing field can be divided into two rectangles and two semicircles.
The dimensions of the rectangles are:
- Width: 60 yards
- Length: 100 yards
- Area of rectangle 1: 60 * 100 = 6000 square yards
- Area of rectangle 2: 60 * 40 = 2400 square yards
The dimensions of the semicircles:
- Radius: 20 yards
- Area of one semicircle: (1/2) * π * r^2 = (1/2) * π * 20^2 = 628.32 square yards
- Area of two semicircles: 2 * 628.32 = 1256.64 square yards
Therefore, the total area of the playing field is:
6000 + 2400 + 1256.64 = 9656.64 square yards
So, the area of the playing field is 9656.64 square yards.
Rebekah designs a playing field for a new sport. The playing field is pictured. What is the area of the playing field?
1 answer