Question

1. What is the radius of the red circle?

2. What is the radius of the blue circle?

3. What are the coordinates for the center of the red circle?

4. What are the coordinates for the center of the blue circle?

5. What is the equation for the red circle?

6. What is the equation for the blue circle?

Answer 1

See below

Explanation:

1. Radius of the red circle = 2 units

2. Radius of the blue circle = 1 unit

3. Coordinates for the center of the red circle = (-2, 2)

4. Coordinates for the center of the blue circle = (2, 2)

5. Equation for the red circle:

`\{x - (-2)\}^2 + (y-2)^2 = 2^2`

`\red{\boxed {(x+2)^2 + (y-2)^2 = 4}}`

6. Equation for the blue circle:

`(x-2)^2 + (y-2)^2 = 1^2`

`\purple {\boxed {(x-2)^2 + (y-2)^2 = 1}}`