Precalc0011to0016-page20

Precalc0011to0016-page20 - given the equation of a circle...

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(Section 0.13: The Cartesian Plane and Circles) 0.13.5 Example 2 (Finding the Equation of a Circle) Find an equation of the circle in the xy -plane with center ± 2, 1 () and radius 3. § Solution We obtain the equation x ±± 2 () () 2 + y ± 1 () 2 = 3 () 2 , which we usually rewrite as: x + 2 () 2 + y ± 1 () 2 = 9 . WARNING 1 : The center of the circle is ± 2, 1 () , not 2, ± 1 () . If we are
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Unformatted text preview: given the equation of a circle in standard form, we can find the center by asking, What makes the left-hand side equal to 0? (The center has a squared distance of 0 from itself.) The circles from Examples 1 and 2 are graphed below: The circles are translations of one another. (See Section 1.4.)...
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This document was uploaded on 12/29/2011.

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