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 ace on a nearby building fell into the garden. Find the probability of the event that it fell in the lake.

Answer

(1) `(1)/(25).`

Explanation

The area of the rectangular garden
`=lxxb=77xx50=3850m^(2).`
`i.e.n(S)=3850`
The diameter of the circular lake is 14 m.
`thereforer=7m`
The area of the circular lake `=pir^2`
`=(22)/(7)xx7xx7=154m^(2).`
Let A be the event that the towel fell in the lake.
Then n(A) = 154
`P(A)=(n(A))/(n(S))=(154)/(3850)=(1)/(25).`