+ Equation of a Circle. + Circle A Circle is a set of all points in a plane equidistant from a given point. The Center.

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Presentation transcript:

+ Equation of a Circle

+ Circle A Circle is a set of all points in a plane equidistant from a given point. The Center.

+ Circle Equation Centered at the Origin: Centered at (h,k): (x,y) is any point on the circle (h,k) is the center point r is the radius

+ Identifying the Center and Radius Find the Center and the Radius

+ Identifying the Center and Radius Find the Center and the Radius

+ Writing an equation of a Circle Given the center and the radius, write an equation of a circle. Center (-4,3) and radius 4

+ Try Some! Given the center and the radius, write an equation of a circle.

+ Try Some! Given the center and the radius, write an equation of a circle.

+ Writing an Equation From a Graph

+ Graphing Circles Graph the following circle.

+ Completing the Square Use Completing the Square find the center and the radius!

+ Completing the Square Use Completing the Square find the center and the radius!

+ Completing the Square Use Completing the Square find the center and the radius then find Circumference and Area. x 2 + 2x + y y – 31 = 0

+ Completing the Square Use Completing the Square find the center and the radius then find Circumference and Area. x x + y 2 + 4y – 7 = 0