### Objective

Students will explore the equation of a circle. Specifically, students will practice writing the equation of a circle from a graph as card as graphing a circle given its equation.

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Students will explore the equation of a circle. Specifically, students will practice writing the equation of a circle from a graph as card as graphing a circle given its equation.

1) Identify the coordinates of the center and the length of the radius in the circle below

(x - 5)^{2} + (y + 2)^{2} = 4

radius:

Center: (___, _____)

2) Graph a circle centered at (5, 1) with a radius of 5

3) What is the equation of the circle pictured below

This is a 3 part worksheet:

**Part I**Model Problems**Part II**Practice Problems**Part III**Homework. Mixed questions involving the equation of a circle.

- Equation of Circle
- Interactive Equation of Circle : explore the relationship between the equation and graph of a circle by clicking and dragging..
- Pictures