In the diagram a circle centered at the origin a right triangle and the Pythagorean...
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In the diagram a circle centered at the origin a right triangle and the Pythagorean theorem are used to derive the equation of a circle x y2 2 Q 0 0 X A P x y E S If the center of the circle were moved from the origin to the point h k and point P at x y remains on the edge of the circle which could represent the equation of the new circle O h x k y P O x h y k 1 k x h y O x k y h 7
In the diagram a circle centered at the origin a right triangle and the Pythagorean theorem are used to derive the equation of a circle x y2 2 Q 0 0 X A P x y E S If the center of the circle were moved from the origin to the point h k and point P at x y remains on the edge of the circle which could represent the equation of the new circle O h x k y P O x h y k 1 k x h y O x k y h 7
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