Question

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Circles: Read the picture below and answer the following question - Which is the area of the shaded region?

choose the correct following options....

A.804.25 square feet
B.1024 square feet
C.822.94 square feet
D.220.16 square feet

Answer 1

D. 220.16 Square feet

Step-by-step explanation: The shaded area is the space in the square not filled by the circle. So we need to find the area of the circle. The formula for area of a circle is
`A=\pi r^(2)`. So we fill in this equation with the information we already know:

`A=\pi 16^(2)`

`A=3.14*16^(2)` Simplify the exponents

`A=3.14*256` Multiply

`A=803.84`

So now we know the area of the circle we have to find the area of the square because the circle is inside the square. It is a simple
`32*32` which is 1,024. Since we are looking for the shaded area we will subtract the area of the circle from the area of the square because the circle is not shaded.

1024-803.94= 220.16 square feet