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A rectangle is placed around a as shown below. The length of the rectangle is 16 ft. Find the area of the shaded region Use the value 3.14 for aand do not round your answer. Be sure to include the correct unit in your answer

A rectangle is placed around a as shown below. The length of the rectangle is 16 ft-example-1

1 Answer

4 votes

The value of 16 ft is the diameter of the semicircle.

That means the radius is 8 ft, and this is also the measure of the smaller side of the rectangle.

First, let's calculate the area of the rectangle:

Now, let's calculate the area of the semicircle:

So the area of the shaded region is:

A rectangle is placed around a as shown below. The length of the rectangle is 16 ft-example-1
A rectangle is placed around a as shown below. The length of the rectangle is 16 ft-example-2
A rectangle is placed around a as shown below. The length of the rectangle is 16 ft-example-3
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User Akroma
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