Final answer:
A point is considered to be on a circle if it lies on the circumference of the circle. To determine whether a point is on a circle, we compare its distance from the center of the circle to the radius of the circle.
Step-by-step explanation:
A point is considered to be on a circle if it lies on the circumference of the circle. To determine whether a point is on a circle, we need to compare its distance from the center of the circle to the radius of the circle. If the distance is equal to the radius, then the point is on the circle. If the distance is greater than or less than the radius, then the point is not on the circle.
For example, let's say we have a circle with a center at (0, 0) and a radius of 5. If we have a point at (4, 0), its distance from the center is 4. Since 4 is less than 5, the point is not on the circle.