Circle Equations

Does the point (4,5) lie on the circle whose center is (-2,-2) and radius 9?

• yes

• No

Is the point (3 , 5) inside, outside or on the circle with equation x² + y² = 9?

• Inside the Circle
• Outside the Circle
• On the Circle

For what value of K is the point (1 , K) inside the circle with equation x² + y² = 4?

• K = 1
• K = 2
• K = 3
• K = 4

Is the point (-3 , 5) inside, outside or on the circle with equation (x+2)² + (y-4)² = 9?

• Inside the Circle
• Outside the Circle
• On the Circle

How do you determine if a point is inside the circle?

• See if value after substitution for (x, y) = r²
• See if value after substitution for (x, y) > r²
• See if value after substitution for (x, y) < r²

A meteorite damaged a portion of a farm expressed by the equation (x - 6)² + (y - 7)² = 16. Which item on the farm was not damaged by the meteorite?

• The Silo located at
  (2, 4)
• The Barn located at
  (4, 6)
• The Pigpen located at
  (8,9)

Prove or disprove that the point (3,4) lies on the circle centered at the origin and has a radius of 5.

• (3,4) lies on the circle

• (3,4) lies outside the circle

• (3,4) lies inside the circle

Prove or disprove that the point (8,-3) lies on the circle centered at (-4,3) and has a radius of 13.

• (8,-3) lies on the circle

• (8,-3) lies outside the circle

• (8,-3) lies inside the circle

Prove or disprove that the point (3,7) lies on the circle centered at the origin and has a radius of 8.

• (3,7) lies on the circle

• (3,7) lies outside the circle

• (3,7) lies inside the circle

Circle O has a center at (3,1) and a diameter of 10 units. Which point lies on circle O?

• (3,-4)

• (-3,-1)

• (5,1)

• (8,0)