Q18 of 34 Page 1

In given figure, PS is the diameter of a circle of radius 6 cm. The points Q and R trisects the diameter PS. Semi circles are drawn on PQ and QS as diameters. Find the area of the shaded region.

As PS is a diameter of circle with radius 6 cm


PS = 2(6) = 12 cm [As diameter = 2Radius]


Also, As Q and R trisects PS


PQ = QR = RS = 4 cm


πsemicircle as diameter PQ - Area of semicircle as diameter QS [1]


Radius of semicircle as diameter PS, r1 = 6 cm [given]


Radius of semicircle as diameter PQ, r2


Radius of semicircle as diameter QS, r3 = QR = QS = 4 cm


Also, area of semicircle with radius 'r'


Using formula in [1]


Required Area




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