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Algebra II Chapter 10 Section 3

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Circle The set of all points a given distance from some center point

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Standard Form

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**Find the center and radius given an Equation**

25 = (x – 7)2 + (x + 4)2 64 = (x – 3)2 + (x - 6)2 22 = (x + 7)2 + (x + 11)2 -3 = (x – 4)2 + (x + 5)2

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**Transformations on a circle**

Translation Rotation Reflection Dilation

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**Given the Equation and Translation of the following circles give the equation of the image circle**

x2+ y2 = 25 Up 2 units x2+ y2 = 25 Left 4 units x2+ y2 = 25 Down 3 and right 5 units

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**Write the equation of the circle that passes through the given point and has a center at the origin**

( 9 , 12) (12 , -5) (2 , -3)

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Do Now Page 553 Problems 4-64 (multiples of 4)

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EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. The radius is 3 and the center is at the origin. x 2 + y 2 = r 2 x 2 +

EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. The radius is 3 and the center is at the origin. x 2 + y 2 = r 2 x 2 +

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