Exploring Circles

What happens to the circle when you move the slider to make AB bigger? What happens when you make AB smaller?

Slide B to a new location. How is the value of AB impacted? Does B ever get closer to A?

What is the value of AB? What is the value of DB? Describe the relationship.

Slide AB to a smaller value. List the new values of AB and DB. Describe their relationship.

Slide AB to a larger value. List the new AB and DB values. Describe their relationship.

Create a formula to describe the relationship between the diameter (DB) and radius (AB). Plug in one of the above set of found values to test your formula.

What happens to d when you move Point C towards Point D?

What happens to d when you move Point C away from Point D?

Does DC ever go through the center of the circle? If so, what does segment DC become?

Move the center of the circle to make the circumference equal to 8. What is the value of d when DC goes through the center?

Move Point C to various points of the circle to change the location of DC. What makes DC different than a radius?