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Question

What will be he area of a semi-circle whose perimeter is 36 cm ?


Options:
A .  154 `cm^2`
B .  168 `cm^2`
C .  308 `cm^2`
D .  Data inadequate
E .  None of these
Answer: Option A

Given :  `pi R  + 2 R =  36`

 `hArr     ( pi + 2) R = 36`

`hArr      R = (36)/(22/7 + 2) cm.`

`hArr       R =  (36 xx 7)/(36)`  cm = 7 cm.

`:.`        Required area = `pi R_2 = (22/7 xx 7 xx 7) cm^2` =  154 `cm^2` 



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