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.

Answer 1

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`.