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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 length of the boundary of the shaded region.
Solution
Now we will find length of the boundary of the shaded region.
`∴ "Length of the boundary the shaded region"=2pi r+AB+DC`
`∴ "Length of the boundary the shaded region"=2xx22/7xx7+20+20`
`∴ "Length of the boundary the shaded region"=2xx22+40`
`∴ "Length of the boundary the shaded region"=44+40`
`∴ "Length of the boundary the shaded region"=84`
Therefore, length of the boundary of the shaded region is `84 cm`
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