# Circle Shifts

- Author:
- Annie

- Topic:
- Circle

## Directions

## Question 1

Describe the role of "r" in the equation of a circle.

## Question 2

Describe the role of "h" in the equation of a circle.

## Question 3

Describe the role of "k" in the equation of a circle.

## Question 4

Set r = 5, C to (0,0) and A to (3,4). What do you notice about the right triangle associated with the radius and its vertical and horizontal components? Once you have found this relationship, find at least 3 other "nice" points on this circle.

## Question 5

Find another circle (change the radius and/or the center) and find a set of point that demonstrate the relationship you determined above.

## Question 6

What is the equation of "Match My Function #1"?

## Question 7

What is the equation of "Match My Function #2"?

## Equation Formats

## Question 8

What is the radius of the circle described by the equation ?

## Question 9

What is the radius of the circle described by the equation ?

## Question 10

What is the center of the circle described by the equation ?

## Question 11

What is the radius of the circle described by the equation ?