Question

Find the area of the shaded region in figure, where ABCD is
a square of side 10 cm and semicircles are drawn with each
side of the square as diameter (use x = 3.14)​

Answer 1

Answer:

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Step-by-step explanation:

Let Unshaded regions be 1, 2, 3 and 4

Area of 1 + Area of 3= Area of ABCD – Areas of two semicircles of each of radius 5 cm  

Area of 1 and 3 = ( 10 * 10 - 2 * 1/2 * 3.14 * 5 *5)  [Area of semi circle                                                                                         =  1/2  pie r²]

                         = (100 - 3.14 * 25)

                         = (100 - 78.5)

                         =21.5 cm²

So,

Even the Area of 2 and 4 is equal to 21.5cm²

So,

Area of shaded region = Area of ABCD - Area 0f( 1+2+3+4)

                                      = 100 - (21.5 + 21.5)

                                      = 100 - 43

Area of shaded region = 57cm²

 

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