Using the Distance Formula to Verify Points on a Circle

This video tutorial explains how to determine if a point is on a circle by using the distance formula. It begins with a review of the distance formula derived from the Pythagorean theorem. The tutorial then demonstrates how to find the radius of a circle when given a center and a point on the circle. It also covers how to test whether a point is on or outside a circle by calculating the distance from the center and comparing it to the radius. The lesson concludes with verifying points using the distance formula.

What is the distance formula derived from the Pythagorean theorem?

Describe the process of substituting values into the distance formula.

Explain how to calculate the radius of a circle using the distance formula.

How can you determine if a point is on a circle given its center and radius?

What steps would you take to verify if a point lies on a circle?

How do you find the distance between two points using their coordinates?

What conclusion can you draw if the calculated distance between a point and the center of a circle is greater than the radius?