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 3 feet. Approximately, how many square feet of the turf needs to be painted for a base circle? Use 3.14 for π and round your answer to the nearest tenth.

7.1 square feet

9.4 square feet

18.8 square feet

28.3 square feet

1 answer

The formula to calculate the area of a circle is 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.

Radius = 3 feet / 2 = 1.5 feet

Now, we can calculate the area:
A = 3.14 * (1.5)^2
A = 3.14 * 2.25
A = 7.065 square feet

Rounded to the nearest tenth, the answer is 7.1 square feet. So the correct answer is:
7.1 square feet.