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ABCD is a rectangle with AB = 14 cm and BC = 7 cm. Taking DC, BC and AD as diameters, three semi-circles are drawn as shown in the figure. Find the area of the shaded region. |
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Answer» Given, ABCD is a rectangle with AB = 14 cm and BC = 7 cm It’s seen that, The area of shaded region = Area of rectangle ABCD + 2 x area of semi-circle with AD and BC as diameters – area of the semi-circle with DC as diameter = 14 x 7 + 2 x 1/2 π(7/2)2 – 1/2 π(7)2 = 98 + 22/7 x (7/2)2 – 1/2 (22/7)(7)2 = 98 + 77/2 – 77 = 59.5 cm2 |
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