Find the area of the shaded part in the figure shown, where ABCD is a square, region I is semicircle on CD as diameter, region II and III are quadrants of circles with centres at A and B respectively each having radius 7cm.
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Solution
Area of shaded region = Area of square ABCD - Area of region I - Area of region II - Area of region III
Now,
Area of square = 14×14=196cm2
Area of region I = 12×227×72=77cm2
Area of region II = Area of region III = 14×227×72=772cm2