Lesson 4: Circles

The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. The diameter of each circle is 6 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.

(1 point)

Group of answer choices

9.4 square feet

7.5 square feet

28.3 square feet

18.9 square feet

1 answer

To find the area of a circle, you use the formula A = πr^2, where r is the radius of the circle.

Since the diameter is given, we need to divide it by 2 to get the radius. So, the radius (r) is 6 feet / 2 = 3 feet.

Now, we can plug this radius into the formula:

A = 3.14 * 3^2
A = 3.14 * 9
A = 28.26 square feet

Rounded to the nearest tenth, the approximate square feet of turf needed to be painted for a base circle is 28.3 square feet.

Therefore, the answer is:
28.3 square feet.