Question

Suppose you drop a die at random on the rectangular region shown in figure. What is the probability that it will land inside the circle with diameter 1m?

Answer 1

Heya !!

Here is your answer..

$area \: of \: rectangle \: = length \: \times \: breadth$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 3 = 6 {m}^{2}$

Now, diameter = 1 m

$radius = \frac{1}{2}$

$area \: of \: circle = \pi \times ({ \frac{1}{2} })^{2}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{\pi}{4} {m}^{2}$

Now, probability

$\frac{\pi}{4} \div 6 = \frac{\pi}{24}$

Hope it helps..

Answer 2

Answer:

area of rectangle=l×b

=2×3=6m

Given diameter=1cm

radius=1/2

Area of circle=πr^2

22/7×1/4

Now probability

= 22/28÷6

=11/84