Question

The area covered by a spotlight on the side of a house is 954 square feet, as seen in the diagram below.
What is the area on the side of the house that is NOT covered by the light

Answer 1

Answer:

$27.25\ ft^2$

Step-by-step explanation:

The picture of the question in the attached figure

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

$A=981.25-954=27.25\ ft^2$