Question

length and breadth of a rectangular Garden are 77m and 50m.There there is a circular lake in a garden having diameter 14m.Due to wind, a tower from a terrace on a nearby building fell into into the garden.Then find the probability of the email that it fell in the lake.

Answer 1

ANSWER:

_______________________________

S: Area of the garden

Length of the garden=77m

Breadth of the garden =50m

To find:

Area of the garden.

Therefore,
$\\ Area \: of \: the \: garden = l \: \times b \\ \\ Area \: of \: the \: garden = 77 \times 50 \\ \\ Area \: of \: the \: rectangle = 3850sq.m$

Now,

let A be the event that the towel fell in a lake.

Diameter of the lake =14m...(given)

Therefore,

$\\ radius = \frac{d}{2} \\ \\ radius = \frac{14}{2} \\ \\ radius = 7m$

Now, we will find the area of the lake.

Therefore,

$\\ area \: of \: the \: lake = \pi \: r^{2} \\ \\ area \: of \: the \: lake = \frac{22}{7} \times 7 \times 7 \\ \\ area \: of \: the \: lake = 154sq.m$

Now,

$\\ P(A) = \frac{n(A)}{n(S)} \\ \\ p(A) = \frac{154}{3850} \\ \\ p(A) = \frac{1}{25} \\ \\ p(A) = 0.04$

Therefore,

$P(towel \: fell \: in \: the \: lake) = 0.04$

Answer 2

Step-by-step explanation:

Answer = $<marquee>0.04 </marquee>$