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tia_tia [17]
2 years ago
5

The area covered by a spotlight on the side of a house is 954 square feet, as seen in the diagram below.

Mathematics
1 answer:
miss Akunina [59]2 years ago
4 0

Answer:

27.25\ ft^2

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

The  area on the side of the house that is NOT covered by the light is equal to the area of semicircle minus the area covered by a spotlight on the side of a house

Find the area of the semicircle

The area of a semicircle is equal to

A=\frac{1}{2}\pi r^{2}

we have

r=25\ ft\\\pi=3.14

substitute

A=\frac{1}{2}(3.14)(25)^{2}

A=981.25\ ft^2

Find the difference

A=981.25-954=27.25\ ft^2

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