The student will be able to define a circle, graph a circle, locate its center and radius.

Modify the values of **h, k** and **r**, observe the changes and answer the following questions.

1. What are the coordinates of center A of the circle and the measurement of its radius? What is the equation of the circle?

2. What happens when we change the value of **h** into the equation of the circle ?

3. What are the coordinates of the y-intercepts of the circle? What happens if we replaced in the equation of the cicle with the y-intercepts? And if we replaced them by (3,2)? Which are the points whose coordinates fulfill the equation of the circle?

4. What is the equation of a circle with a center C(1,2) and radius r=5? And if the center is C(-5,2)? And if the center is (0,0)?

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**Livemath:** An interactive website that explains the properties of circles. Livemath

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