6.3.1 Circle Equations

State the equation of the circle with a center at (4, 6) and a radius of 9.

State the equation of the circle with a center at (-2, 7) and a radius of 3.

State the equation of a circle with a center at (13, -5) and diameter of 8.

• center: (0, 0)

  radius = 49

• center: (7, 7)

  radius = 7

• center: (x, y)

  radius = 7

• center: (0, 0)

  radius = 7

• center: (4, 12)

  radius = 8

• center: (-4, -7)

  radius = 4

• center: (-4, -7)

  radius = 8

• center: (7, 4)

  radius = 8

• Inside the circle.

• On the circle.

• Outside the circle.

• Inside the circle.

• On the circle.

• Outside the circle.

• Inside the circle.

• On the circle.

• Outside the circle.

• Inside the circle.

• On the circle.

• Outside the circle.

A circle is centered at (-2, 6) and the point (3, 6) is on the edge of the circle. Which equation describes the circle?

(Hint: you need to calculate the radius.)