Latest TCS Aptitude Question SOLUTION: A dashboard of radius 2.0 foot at a distance of 20 foot from you. U throw a dart and it hits the dart board at some point Q in the circle what is the probability that Q is closer t

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A dashboard of radius 2.0 foot at a distance of 20 foot from you. U throw a dart and it hits the dart board at some point Q in the circle what is the probability that Q is closer to center of the circle than the peripheri???

Asked In TCS D Chandra Shekar (11 years ago)

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juhi sharma  (11 years ago)

area of whole circle = pi*(1 foot)^2 = pi (this is according to formula area = pi*(radius)^2
similarly area of inner circle = pi*(1/2foot)^2 = pi/4
so ratio of areas of these two circles will be the probability and that is 1/4

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sai spandana  (11 years ago)

Since according to requirement we have to locate Q closer to center in comparison to the circumference, for doing this we shall make a circle in that board whose radius will be half of the radius of dartboard.now we will compare the area of inner circle to the total area
Answer of DIPIN is correct
area of whole circle = pi*(2 foot)^2 = 4pi (this is according to formula area = pi*(radius)^2
similarly area of inner circle = pi*(1foot)^2 = pi
so ratio of areas of these two circles will be pi/4*pi and the probability and that is 1/4

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