Section 2.1 Rectangular Coordinates-Relations

Squaring both sides we have r 2 x h2 y k 2 theorem the

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Unformatted text preview: k )2 . Squaring both sides, we have: r 2 = (x − h)2 + (y − k )2 . Theorem The point (x , y ) lies on the circle of radius r > 0 centered at C (h, k ) if and only if (x , y ) satisfies the equation r 2 = (x − h)2 + (y − k )2 . This equation is called the standard form for the equation of the circle. Circles Outline Relations Graphing Relations Examples Example 1 Find the center and radius of the circle with equation (x − 7)2 + (y + 3)2 = 25. 2 Find the standard form of the circle centered at (0, 0) having radius 3. 3 Find an equation of the circle centered at C (−1, 5) having √ radius 3. 4 Find an equation of a circle centered at (4, −5) that passes through (7, −3). Circles...
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This note was uploaded on 02/10/2014 for the course MATH 1050 taught by Professor K.jplatt during the Spring '14 term at Snow College.

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