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
A?
A = pi r^2 = pi (75)^2\we want half of that
pi (75)^2/2 = 8835 yes B)
I meant b
Disagree
Area = 3.14 (150/2)^2 = ?
Only half is grub bitten PsyDAG
You are right. I goofed.
To find the square footage of the damaged area, we need to calculate the area of the circle and then divide it by 2 (since half of the grass has died).
To calculate the area of a circle, we use the formula A = π * r^2, where A is the area and r is the radius.
Given that the circular picnic area is 150 feet across, the radius is half of the diameter which is 150 / 2 = 75 feet.
Now we can substitute the values into the formula:
A = 3.14 * 75^2
A = 3.14 * 5625
A ≈ 17662.5 square feet
Since we need to find the square footage of the damaged area, we divide this result by 2:
17662.5 / 2 = 8831.25 square feet
So the square footage of the damaged area is approximately 8831.25 square feet.
Therefore, the correct answer is B) 8831.25 sq. feet.