23.2k views
11 votes
A basketball team wants to paint half of a free-throw circle grey. If the circumference of the free-throw circle is 30. 77 feet, what is the area that will be painted grey? Use 3. 14 for π, and round to the nearest square foot. Enter your answer in the box.

User Stormfield
by
3.5k points

1 Answer

10 votes

Answer:

37.69 (≈ 38 ft²)

Explanation:

2πr = 30.77

r = 30.77 / (2 * 3.14) = 4.9

half of free-throw circle area: πr² / 2 = (3.14 * 4.9²) / 2 = 37.69 (≈ 38 ft²)

User Labratmatt
by
3.5k points