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Circles March 18th 2013. A ___________ is the set of all point that are a fixed distance, called the _________ from a fixed point, called the _________.

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Presentation on theme: "Circles March 18th 2013. A ___________ is the set of all point that are a fixed distance, called the _________ from a fixed point, called the _________."— Presentation transcript:

1 Circles March 18th 2013

2 A ___________ is the set of all point that are a fixed distance, called the _________ from a fixed point, called the _________. A point (x, y) is on the circle if and only if the distance between that point and the center is equal to the radius

3 Distance Formula This is where the equation of a circle originates: So the STANDARD FORM for a circle is: *Do you remember where the distance formula comes from?

4 Example Find an equation of the circle with center (-2, 5) and radius 3.

5 Example Find the equation of a circle with center (2, -6) that passes through the point (0, -6). What is the radius of the circle?

6 Converting to Standard Form If the graph of the equation is a circle, find its center and radius. If the equation has no graph, say so. a.) x 2 + y 2 + 10x – 4y + 21 = 0 b.) x 2 + y 2 – 8x + 6y + 30 = 0 c.) 4x 2 + 4y 2 – 16x – 24y + 36 = 0

7 Example x 2 + y 2 + 10x – 4y + 21 = 0

8 Example x 2 + y 2 – 8x + 6y + 30 = 0

9 Examples 4x 2 + 4y 2 – 16x – 24y + 36 = 0

10 Mathxlforschool.com “Circle”


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