Question

5) A circle with diameter 10 cm is drawn
somewhere on a rectangular piece of paper
with length 30 cm and width 20 cm. This paper
is kept horizontal on table top and a die very
small in size, is dropped on the rectangular
paper without seeing towards it. If the die falls
and lends on the paper only, find the
probability that it will fall and lend :
(1) inside the circle
(ii) outside the circle.​

Answer 1

Answer:

inside the circle

Answer 2

Step-by-step explanation:

Radius of circle = 20/2 = 10 cm

Area of circle = 22/7 x 10² = 314.29 cm²

Area of rectangle = 40 x 30 = 1200 cm²

1. P(Falling inside circle) = Area of circle/Area of rectangle

                                           = 314.29/1200 = 0.262

2. Area outside the circle = 1200 - 314.29 = 885.71

         P(Falling outside circle) = 885.71/1200 = 0.738

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