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In the given figure, APB and CQD are sem...

In the given figure, APB and CQD are semicircles of diameter 7 cm eachy, while ARC and BSE are semicircles of diameter 14 cm each. Find the (i) perimeter (ii) area of the shaded region.

Text Solution

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The correct Answer is:
(i) 66cm (ii) `115.5cm^(2)`
(i) Perimeter of the shaded region `={2(22/7xx7/2)+2(22/7xx7)}cm`
`=(22+4)cm=66cm`
(ii) Area of the shade dregion `=2{(1/2xx22/7xx7xx7)-(1/2xx22/7xx7/2xx7/2)}cm^(2)`
`=2(77-77/4)cm^(2)=115.5cm^(2)`
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