SOLUTION: A point is chosen at random on the coordinate plane such that both of its coordinates are between 0 and 2. What is the probability that the point is less than 1 unit from the origi

Question 1043823: A point is chosen at random on the coordinate plane such that both of its coordinates are between 0 and 2. What is the probability that the point is less than 1 unit from the origin?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A point is chosen at random on the coordinate plane such that both of its coordinates are between 0 and 2. What is the probability that the point is less than 1 unit from the origin?
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Sketch the picture.
You have a 2 by 2 square with area = 4 units^2
You have 1/4 of a circle with center at 0,0 and radius = 1;
are = (1/4)pi*1^2 = pi/4
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P(point < 1 unit from (0,0)) = (pi/4)/4 = pi/16
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Cheers,
Stan H.
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