Precalc0011to0016-page18 - x 2 y 2 is the distance between...

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(Section 0.13: The Cartesian Plane and Circles) 0.13.3 PART D: THE GRAPH OF AN EQUATION and CIRCLES The Graph of an Equation; the “Basic Principle of Graphing” The graph of an equation consists of all points whose coordinates satisfy the equation. The points correspond to solutions of the equation. Circles A circle is the set of all points in a plane that are a fixed distance ( r , the radius ) away from a fixed point (the center ). The diameter d is twice the radius. Distance and Squared Distance from the Origin
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Unformatted text preview: x 2 + y 2 is the distance between a point x , y ( ) and the origin 0, 0 ( ) . x 2 + y 2 is the squared distance between them. Equation of a Circle with Center 0, 0 ( ) The standard form of the equation of a circle (in the xy-plane) with center 0, 0 ( ) and radius r , where r > , is given by: x 2 + y 2 = r 2 • This is because such a circle consists of all points x , y ( ) whose squared distance from 0, 0 ( ) is r 2 ....
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