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

Respuesta :

sqdancefan
The area of the circle 150 ft in diameter is
.. A = π*(75 ft)^2 ≈ 17,671.459 ft^2

The damaged area is half that, about 8836 ft^2.
facundo3141592

Answer: The damaged area is equal to 8831.25ft^2

Step-by-step explanation:

We know that we have a circular area, where half of the grass has died. We know that the circular picnic is "150 feet across" I guess this means that if you walk in a straight line from the edge of the circular area, through the middle, and to the next edge, the distance is 150ft.

This would mean that the diameter is equal to 150ft.

With this we can calculate the total area of the circle; this is:

A = pi*r^2

where r is the radius, that is half the diameter, so we have r = 150ft/2 = 75ft

and pi = 3.14

so we have:

A = 3.14*(75ft^)^2 = 17662.5ft^2

And we know that half of that area has the grass damaged, so the amount of square feet of grass needed is equal to A/2 = (17662.5ft^2)/2 = 8831.25ft^2

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