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Question
The perimeter of a circular field is 242 m. The area of the field is
Options
9317 m2
18634 m2
4658.5 m2
none of these
Solution
4658.5 m2
Let the radius be r m.
We know:
Perimeter of a circle = 2πr
Thus, we have ;
2πr = 242
`⇒ 2 × 22/7xx"r"=242`
`=> 44/7xx"r"=242`
`⇒ r = (242×7/44)`
`⇒ r = 77/2`
∴ Area of the circle = πr2
`=(22/7xx77/2xx77/2)"m"^2`
= 4658.5 m2
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