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Question
Length and breadth of a rectangular garden are 77 m and 50 m. There is a circular lake in the garden having diameter 14 m. Due to wind, a towel from a terrace on a nearby building fell into the garden. Then find the probability of the event that it fell in the lake.
Solution
Area of the garden = `77 xx 50 = 3850`
Diameter of the circular lake =`14 `m
∴ Radius of the circular lake =`14/2 =7`m
Now, area of the circular lake =`pi`(radius)2
`=22/7 xx 7 xx 7`
= 154
Therefore, required probability =`154/3850`
`=1/25`
Hence, the probability that towel fell in the lake is `=1/25`.
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