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The boundary of the shaded region in the...

The boundary of the shaded region in the given figure consists of three semicircular areas, the smaller ones being equal. If the diameter of the larger one is `14` cm, calculate
(i) the length of the boundary
(ii) the area of the shaded region

Text Solution

Verified by Experts

1)`(2piR)/2+(2pir)/2+(2pir)/2`
`=piR+2pir`
`=pi(R+2r)`
`=pi(7+7)`
`=14pi cm`
2)`(piR^2)/2-(pir^2)/2+(pir^2)/2`
`=(piR^2)/2`
`=(pi7^2)/2`
...
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