I would say that the probability is 1, meaning that all points P(x,y) with x^2+ y^2 = 1. What is the OA?
This is easily explained by the formula. x^2 + y^2 =1 is actually the equation of a circle with O(0,0) (center of circle) and radius 1. A radius of 1 means that the circle will "touch" our square in four points: (1,0), (-1,0), (0,1), (0,-1) and be inscribed in the circle.
The general formula for a circle is (x - a)^2 + (y - b)^2 = r^2, with r = radius and O(a,b) the center of the circle.
probability (plane)
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awesomeusername
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I'm going to have to agree with Dana here. If the circle in inscribed in the square, then that would mean that all points fall within the bounds of the square, so the probability would have to be 1, right?
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DanaJ
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The formula that aroon7 provided actually represents the probability of a point in the square to be in the circle also. The question is about points in the circle that fall in to the square, IMHO....
you are right danaj...DanaJ wrote:The formula that aroon7 provided actually represents the probability of a point in the square to be in the circle also. The question is about points in the circle that fall in to the square, IMHO....
i misunderstood the question.
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