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SanuByahut
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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. Find the area of the shaded region.

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In this question we have to the find the area of the shaded region.
Given that ABCD is a rectangle with AB = 14 cm and BC = 7 cm.
Taking DC, BC and AD as diameters, three semi-circles are drawn.

This question is from r d sharma class 10 maths.
I found this question while doing mensuration of
class 10.
I need help in getting the solution.

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1 Answer

  1. 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 ½ π(7/2)2 – ½ π(7)2

    = 98 + 22/7 x (7/2)2 – ½ (22/7)(7)2

    = 98 + 77/2 – 77

    = 59.5 cm2

     

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