# Example 5

- Author:
- Walch Education

- Topic:
- Circle

Refer to the figures below.
Given , is the set of points with center a circle?
Given , is the set of points with center a circle?

- The set of points with center
is a circle because all points are equidistant from the center, . - The set of points with center
is not a circle because the points vary in distance from the center, .