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# Coordinate geometry

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Coordinate geometry [#permalink]  08 Nov 2005, 21:15
okay, this has a drawing that I can't duplicate...but will describe:

In the figure above, points P and Q lie on the circle w/ center O. What the value of S?

The picture is an x-y axis with a semi-circle that's center is at point O (coordinates are 0,0 on the x-y axis. so the x axis is what cuts the full circle in half if you get what I mean. then there are 2 lines drawn from point O (o,o) to 2 points on the semi-circle. One drawn diagnoaly to the left, the other diagnolly to the right. These are obviously radii. The one on the left is labeled point P (-sqrt3, 1) and the one on the right is point Q (s,t). Also, the resulting angle formed from where the 2 lines are drawn from the center of the circle is a right angle.

a. 1/2
b. 1
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Manager
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thanks!

Question....when calculating the radius off of the point you already have (- sqrt3, 1).....is the proper equation sqrt(1^2 - (- sqrt3)^2)
or is it sqrt((- sqrt3)^2 - 1^2) or does it not matter?
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Jennif102 wrote:
Question....
when calculating the radius off of the point you already have (- sqrt3, 1)...
is the proper equation sqrt(1^2 - (- sqrt3)^2) or is it sqrt((- sqrt3)^2 - 1^2) or does it not matter?

none.
r = sqrt(x^2+y^2)
so r = eother "sqrt{1^2 + (- sqrt3)^2}" or "sqrt{(-sqrt3)^2 + 1^2)}"
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