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Question
In the following figure, ABCD is a rectangle, having AB = 20 cm and BC = 14 cm. Two sectors of 180° have been cut off. Calculate:
the area of the shaded region.
Solution
We have given two semi-circles and a rectangle.
Area of the shaded region = Area of the rectangle − Area of the two semicircles
`∴ "Area of the shaded region" =20xx14-2xx1/2xxpixx7xx7`
Substituting pi=`22/7` we get,
`∴ "Area of the shaded region"=20xx14-2xx1/2xx22/7xx7xx7`
`∴ "Area of the shaded region"=20xx14-22xx7`
`∴ "Area of the shaded region"280-154`
`∴ "Area of the shaded region"=126`
Therefore, area of shaded region is `126 cm^2`
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