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Algebra for College Students 9th Edition

Algebra for College Students (9th Edition)

Book Edition9th Edition
Author(s)Hornsby, Lial
PublisherPearson Higher Education
Section 7.3: Simplifying Radicals the Distance Formula and Circles

Chapter 7, Section 7.3, Exercises, Exercise 136

Page 484

Verified Answer

Note that by definition, a circle is the set of points that are equidistant from a fixed point. The fixed point is the center of the circle and the fixed distance between the center and a point on the circle is the radius of the circle. In this case, the location of the pin represents the center of the circle and the length of the string represents the radius of the circle, which satisfies the definition. Therefore, this process is valid because it satisfies the definition of the circle.

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Page 484