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### Objective

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

### Example Questions

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

### Visual Aides

### Other Details

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.

### Resources

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