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A circle with radius 10 cm is drawn somewhere on a rectangular piece of paper of dimensions `40 cm xx 30 cm.` This paper is kept horizontally on table

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A circle with radius 10 cm is drawn somewhere on a rectangular piece of paper of dimensions `40 cm xx 30 cm.` This paper is kept horizontally on table top and a point is marked on the rectangular paper without seeing towards it. Find the probability that it will marked outside the circle. `("Take "pi=(22)/(7))` Select the correct answer from above options

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Area of rectangle `=40xx30 cm^(2) = 1200 cm^(2)` Area of circle `=pi(10)^(2)=100pi cm^(2)` `therefore" Area of remaining protion "= (1200-100pi) cm^(2)` `therefore" Required probability "=("Favourable portion")/("Total portion")=(100(12-pi))/(1200)` `=(12-(22)/(7))/(12)=(84-22)/(7xx12)=(62)/(7xx12)=(31)/(42)`

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