Lesson35

# Lesson35 - Lesson 35 MA 152 Section 2.8 I Circles An...

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1 Lesson 35 MA 152, Section 2.8 I Circles An earlier lesson has the distance and midpoint formulas. You will need to remember those formulas for this lesson. 2 2 2 1 2 1 1 2 1 2 ( ) ( ) : , 2 2 d x x y y x x y y M = - + - + + A circle is a set of all points in a plane that are a fixed distance, called the radius , and from a point called its center. Equation of a circle: The distance formula can be used to find the equation of a circle. Let the center of the circle be represented by the ordered pair ( h, k ) and the radius of the circle by r . Every point ( x, y ) is r units from ( h, k ). 2 2 2 2 2 ) ( ) ( ) ( ) ( k y h x r k y h x r - + - = - + - = This is the standard equation for a circle. Standard Equation of a Circle: If the center of a circle is ( h, k ) and the radius of the circle is r units, the an equation for the circle is 2 2 2 ) ( ) ( r k y h x = - + - . If the center of the circle is the origin, then the standard equation of the circle is 2 2 2 r y x = + . The

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Lesson35 - Lesson 35 MA 152 Section 2.8 I Circles An...

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