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2. Find the area of the shaded region. Express your answer in terms of

3 in
6 in
9 in
12 in
18 in

2. Find the area of the shaded region. Express your answer in terms of 3 in 6 in 9 in-example-1

1 Answer

1 vote

Answer:

Explanation:

Find the area of the rectangle. A = length * width

Find the area of each circle. A = π*radius*radius

Subtract the area of each circle from the area of the rectangle.

A = length * width

A = (3+6+9+12) * 18

A = 30 * 18

A = 540 square inches

Bottom circle

A = π * radius * radius. (radius is 1/2 of the diameter)

A = 3.14 * 6 * 6

A = 133.04 square inches

Middle circle

A = π * radius * radius

A = 3.14 * 4.5 * 4.5

A = 63.59 square inches

Top circle

A = π * radius * radius

A = 3.14 * 3 * 3

A = 28.26 square inches

Subtract the circles from the rectangle.

540 - 133.04 - 63.59 - 28.26 = 315.11 square inches is the area of the shaded part.

User Rico Herwig
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