The distance formula, midpoint formula, and center radius form of the equation of a circle are closely related in the following problem.
A circle has a diameter with endpoints (-1, 3) and (5, -9). Find the center-radius form of the equation of this circle.
There is yet another way to find the radius. Because the radius is half the diameter, it can be found by finding half the length of the diameter. Using the endpoints of the diameter given in the problem, find the radius in this manner. The same answer found in Exercise 54 should be obtained.
Exercise 54
There are several ways to find the radius of the circle. One way is to find the distance between the center and the point (-1, 3). Use the result from Exercise 53 and the distance formula to find the radius.
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