Question

Suppose you drop a die at random on a rectangular region with length=3m and breadth=2m . What is the probability that it will land inside a circle with a diameter 1m?

Answer 1

perimeter of rectangle is 2(l+b)

2(3+2)

2(5)

10 answer

Answer 2

Answer:

157/1200 OR 13%

Step-by-step explanation:

area of rectangle=lb=3*2=6$m^{2}$=60000$cm^{2}$

area of circle=$\pi r^{2}$

=$\pi$*0.5*0.5

=$\pi$*0.25

=3.14*0.25

=0.785$m^{2}$=7850$cm^{2}$

probability of die landing inside circle=area of circle/area of rectangle

                                                              =7850/60000

                                                              =157/1200

                                                              =0.13 (approx.)

                                                              =13% (approx.)