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 x 50
= 3850
Diameter of the circular lake = 14 m
∴ Radius of the circular lake = $\frac{14}{2}$
= 7 m
Now, area of the circular lake = $\mathrm{\pi }{\left(\mathrm{radius}\right)}^2$
= $\frac{22}{7}\times 7\times 7$
= 154
Therefore, required probability = $\frac{154}{3850}$
$=\frac{1}{25}$
Hence, the probability that towel fell in the lake is $\frac{1}{25}$.