Q. 54.4( 221 Votes )

From each corner of a square of side 4 cm a quadrant of a circle of radius 1 cm is cut and also a circle of diameter 2 cm is cut as shown in Fig. 12.23. Find the area of the remaining portion of the square.

Answer :

Each quadrant is a sector of 90° in a circle of 1 cm radius

Area of each quadrant = * r2


= * * (1)2


= cm2


Area of square = (Side)2


= (4)2


= 16 cm2


Area of circle = πr2 = π (1)2


= cm2


Area of the shaded region = Area of square - Area of circle - 4 × Area of quadrant


= 16 - - 4 *


= 16 - -


= 16 -


=


= cm2


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