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  • Find the area of the shaded region in Fig, if ABCD is a square of side 14 cm and APD and BPC are semicircles.

3. Find the area of the shaded region in Fig, if ABCD is a square of side 14 cm and APD and BPC are semicircles.

                    

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Area of the shaded region is given by =   Area of the square - Area of two semicircles.

Area of square is    :    =\ 14^2\ =\ 196\ cm^2

And the area of the semicircle is:-     

                                                        =\ \frac{1}{2}\pi r^2

                                                       =\ \frac{1}{2}\pi \times 7^2

                                                       =\ 77\ cm^2

Hence the area of the shaded region is given by :    =\ 196 - 2(77) = 42\ cm^2.

Posted by

Devendra Khairwa

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