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Question

A sheet of paper is in the form of a rectangle ABCD in which AB = 40 cm and AD = 28 cm. A semi-circular portion with BC as diameter is cut off. Find the area of the remaining paper.

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Solution

The length and width of rectangle ABCD is given by andrespectively.

Now, we will find the area of rectangle.

It is given that a semicircular portion with BC as diameter is cutoff from rectangle. So,

Now,

Substituting the value of r,

The area A of remaining paper is

Thus, the area of remaining paper is.


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