The seventh-grade class is building target areas for a PE activity. The bases for the game will be circular in shape. The diamet

Question

3 years ago

6

The seventh-grade class is building target areas for a PE activity. The bases for the game will be circular in shape. The diamet

er of each circle is 5 feet. Approximately how many square feet of the turf need to be painted for a base circle? Use 3.14 for π and round your answer to the nearest tenth.
15.7 square feet
19.6 square feet
42.8 square feet
78.6 square feet

Mathematics

1 answer:

Paul [167] · Answer 1 · 2022-12-12T11:27:20+03:00

Answer:

(b) 19.6 square feet

Step-by-step explanation:

The area of a circle is given by the formula ...

A = πr²

If the diameter is 5 feet, the radius is 2.5 feet, so the area is ...

A = (3.14)(2.5 ft)² ≈ 19.625 ft² ≈ 19.6 ft²

The area of a base circle is about 19.6 square feet.