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Question
Calculate the area of the shaded region, if the diameter of the semicircle is equal to 14 cm. Take `pi = 22/7`
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Solution
The diameter of the semi-circle is 14 cm.
ED = AC = 14 cm
Therefore, AB = BC = AE = CD = 7 cm
Area of the shaded region = Area of semi-circle EFD [Area of rectangle AEDC – 2 quarter circle]
`= 1/2 pir^2 + [AE xx ED - 2 xx 1/4 pir^2]`
`= 1/2 pir^2 + AE xx AE - 1/2 pir^2`
= 7 x 14
`= 98 cm^2`
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