Rebekah designs a playing field for a new sport. The playing field is pictured. What is the area of the playing field?
(1 point)
In order to determine the area of the playing field, we must calculate the area of the rectangle and the area of the semicircle separately and then add them together.
Area of rectangle:
Length = 60 meters
Width = 30 meters
Area = Length x Width = 60 m x 30 m = 1800 square meters
Area of semicircle:
Radius = 15 meters (half of the diameter which is 30 meters)
Area = 1/2 x π x radius^2 = 1/2 x π x 15^2 = 1/2 x π x 225 = 112.5 π square meters (approximately 353.43 square meters)
Total area of the playing field:
1800 square meters (rectangle) + 353.43 square meters (semicircle) = 2153.43 square meters
Therefore, the area of the playing field is approximately 2153.43 square meters.