probability (plane)

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.

it will be area of circle/Area of the square
radius of circle is 1 and side of the square is 2
so answer is pi/4

what is the OA?

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?

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....

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....

you are right danaj...
i misunderstood the question.

oa pai/4
I have collected it from internet so oa may be inaccurate,

Answer is 1