Equation of a Circle.

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Presentation transcript:

Equation of a Circle

Warm Up 1. 2.

Circle A Circle is a set of all points in a plane equidistant from a given point called 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. x2 + 2x + y2 + 14y – 31 = 0

Completing the Square Use Completing the Square find the center and the radius then find Circumference and Area. x2 - 10x + y2 + 4y – 7 = 0