Question

A die is drop at random on rectangular region of side 3m * 2m what is the probability that it will land inside the circle with diameter 1 m

Answer 1

Given, length of the rectangle = 3 cm

and breadth of the rectangle = 2 cm

Area of the rectangle = 3 * 2 = 6 cm^2

Again, radius of the circle r = 1/2 cm

Area of the circle = πr^2= π(1/2)^2 = π/4

Now, P(die will land inside the circle) = (π/4)/6

                                                  = π/(4 * 6)

                                                  = π/24