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Graphs and Equations of Circles Book: Math 3 (Green Book) Section: 5.2

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Standard Equation of a Circle What do you think we need to write an equation of a circle? Radius Center Point on a Circle

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Lets See What We Know The point (6, 2) lies on a circle whose center is at the origin. Find the radius. What formula do we need to use in order to find the radius? DISTANCE FORMULA!!!!!!!

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Lets See What We Know The point (-2, -2) lies on a circle whose center is at (4, -5). Find the radius.

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Lets Make Some Observations Whats the Radius? Where is the center? Here is the equation, how is it related to the circle?

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Lets Make Some Observations Whats the Radius? Where is the center? Here is the equation, how is it related to the circle?

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So we have determined… Let the center of a circle be the point (h,k) and the radius be r From our observations we have determined that the standard equation of a circle is:

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Write the Equation of the Circle

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Graph the Circle

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Write the Equation of the Circle Center: originRadius: 5 Center: (4, -2)Radius:

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Homework GREEN BOOK Pg. 182 #1 – 22 WS

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9. 10. 11. From the worksheet

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Equations of Circles. You can write an equation of a circle in a coordinate plane, if you know: Its radius The coordinates of its center.

Equations of Circles. You can write an equation of a circle in a coordinate plane, if you know: Its radius The coordinates of its center.

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