Three semicircles are placed in a rectangle, as shown below. The length of the rectangle is 30 m . Find the area of the shaded region. Use the value for , and do not round your answer. Be sure to include the correct unit in your answer.

The area of the shaded region is: 32.25m^2

Step-by-step explanation:

Given

See attachment for rectangle and semicircles

Required

The shaded region

We have:

--- length of the rectangle

This means that the diameters of the three circles add up to 30m.

So, the diameter of 1 is:

The area of one circle is:

The area of the three circles is:

The area of the rectangle is:

Where r is the radius of the circle

And

So, we have:

So, the shaded region is:

a

step-by-step explanation:

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