Question

Jim is repainting a free-throw key of a basketball court. the free-throw is made by combining a rectangle and a semicircle, as shown below. In order to know how much paint to purchase, Jim will determine the area of the free-throw key. What is the total area, to the nearest whole square foot, of the free-throw key shown in the diagram?

Answer 1

285

Explanation:

First find the area of the rectangle

A = l*w

A = 19*12 = 228

The find the area of the semicircle

A = 1/2 pi r^2

We know the diameter is 12 so the radius is half the diameter so 1/2 (12) = 6

A = 1/2 (3.14)(6)^2

= 1/2 (3.14) (36)

= 56.52

Add the two areas together

225+56.52

284.52

Rounding to the nearest whole number

285