Question

A play court on the school playground is in the shape of a square joined to a semicircle. The radius of

the semicircle is 20 feet. What is the perimeter of the play court? Use 3.14 as an approximation for π.

Answer 1

Square side=40ft

Semi-circle diameter=39.98ft

Area of court=2276.69 ft^2

Explanation:

The square section has a semicircle joined to it and the combined perimeter is 182.8 ft.

-Area of the square section is obtained by subtracting that of the semicircle from the total(only 3 sides of the square is used since one side is attached to the semi-circle)

Hence, the square's sides has the dimension of 40 ft.

The semi-circle's diameter is calculated as:

Hence, the semi-circle's diameter is 39.98 ft

The area of the court is calculated as:

The court's area is 2,227.69 ft^2