In the neighborhood park there is a circular grassy picnic area, but half of the grass has died. The city wants to replant the grass, but needs to know the square footage of the damaged area. If the circular picnic area is 150 feet across, what is the square footage of the damaged area? Let π = 3.14.

A) 471 sq. feet

B) 8831.25 sq. feet

C) 17662.5 sq. feet

D) 35325 sq. feet

Question

Mathematics

Pace

18 July, 20:23

In the neighborhood park there is a circular grassy picnic area, but half of the grass has died. The city wants to replant the grass, but needs to know the square footage of the damaged area. If the circular picnic area is 150 feet across, what is the square footage of the damaged area? Let π = 3.14.

A) 471 sq. feet

B) 8831.25 sq. feet

C) 17662.5 sq. feet

D) 35325 sq. feet

+3

Answers (2)

Know the Answer?

Madelyn Baird · Answer 1

150 feet across is diameter

find area

but 1/2 is dead

find area then times 1/2

area=pir^2

150=d

d/2=r=150/2=75=r

area=pi75^2

area=5625pi

times 1/2

area=2812.5pi

pi=3.14 for this problem

area=8831.25

B is answer

Marques Harmon · Answer 2

so, πr^2 is the equation for the area of a circle, if we calculate that, it will equal 17662.5

we then half that to get the area (square feet) of the dead grass, which is

8831.25 square feet which means the answer is B.