Point on a Circle

A circle has a center at $\left(4,\ -1\right)$ and a radius of 6. Select all of the following that are points on the same circle.

A circle has a center at (1, 1). The diameter is 6. Which of the following points is a point on the circle?

A circle has diameter endpoints of (1, 0) and (5, 0). Which of the following points is a point on the same circle?

A circle has a diameter with endpoints (2, 1) and (2, 3). Which of the following is also a point on the circle?

• (2, 2)

• (1, 3)

• (3, 2)

• (0, 0)

A circle has center (4, -2) and a diameter of 14. Which of the following points is also a point on the circle.

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

• yes

• No

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