Question

length and breadth of the rectangular garden is 77m and 50m. There is a circular lake in the garden having diameter 14m. Due to the wind, a towel from a nearby terrace fell into the garden. Then find the probability of the event that it fell in the lake.??​

Answer 1

$\huge\mathfrak\red{answer}$

Given

length and breadth are 77 M and 50 M

There is a circular lake in the garden having a diameter 14 m

Find the probability of the event that it fell in the lake.

$\huge \fbox \pink{ =Solution }$

The probability that the towel will fall in the lake is in ratio of area of the lake to the area of the rectangle

$Area \: of \: lake \: = 3.14 \times 14 \times 14 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 615.44$

$A rea \: of \: garden \: = 77 \times 50 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3850$

$Probability = 615. \frac{44}{3850}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.1538$