A circle with diameter 20 cm is drawn somewhere on a rectangular piece of paper with length 40 cm and width 30 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 lands on paper only, find the probability that it will fall and land:

inside the circle

#### Solution

Diameter of the circle= 20

Radius= 10 cm

Area of circle= `pir^2=22/7xx10xx 10xx=2200/7 cm^2`

Length of paper =40 cm

Width of paper =30 cm

Area of paper=`1200cm^2 `

Total possible outccomes=arrea of rectangular paper

Ssince paper is kept on table top and die falls and land on paper.

Number of favorable outcomes= are of circle.

P(inside thhe circle)= `"Area of arde"/"Area of rectangular paper"=(2200/7)/1200=11/42`