mac1105_lecture11_1

mac1105_lecture11_1 - L11 Circles; Lines Circle A circle is...

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101 L11 Circles; Lines Circle A circle is the set of all points in the xy -plane which are a fixed distance r , radius , from a fixed point ( , ) hk , center of the circle . The standard form of an equation of a circle with radius r and center ( , ) is 22 2 () ( ) x hy k r +− = . The standard form with center at the origin : The equation of the Unit Circle : The general form of the equation of a circle :
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102 Example : Describe the graph of 22 8 xy + = . Example : Graph the equation ( 3) ( 4) 25 −+ + = . Example : Find the standard form of the equation of the circle with 1) center at the point ( 5,2) and radius 6 2) center at the point ( 4,6) and passing through the point (1,2)
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103 3) endpoints of a diameter at ( 2,4) and (4, 6) Rewrite the last equation in general form:
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104 Example : Write the equation in standard form. If the equation represents a circle, identify its center and radius. Find the intercepts, if any. Graph the equation. 22 991 2 6 4 0 xy x y ++− + =
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105 Lines Slope of a Line: The slope m of a nonvertical line L is a quotient of the change in y , Rise , over the
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This note was uploaded on 11/07/2011 for the course MAC 1105 taught by Professor Picklesimer during the Fall '10 term at University of Florida.

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mac1105_lecture11_1 - L11 Circles; Lines Circle A circle is...

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