Question

What is the definition of a circle?

   What is the definition of a circle?

Intermediate Algebra for College Students

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 10, Problem 128

Instant Answer

Solved by Expert James Kiss

08/05/2021

Step 1

A circle is a closed, two-dimensional geometric shape consisting of all the points in a plane that are equidistant from a fixed central point, called the center. Show more…

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Key Concepts

Circle

A circle is defined as the set of all points in a plane that are at a fixed, constant distance from a given point. This forms a continuous, closed curve with uniform properties throughout, making it a basic and important shape in Euclidean geometry.

Center

The center of a circle is the fixed point from which all points on the circle are equally distant. It serves as the reference point for measuring the radius and establishing the symmetry of the circle.

Radius

The radius of a circle is the fixed distance from the center of the circle to any point on its perimeter. This distance is crucial as it not only defines the size of the circle but also is used in various formulas to calculate properties like area and circumference.

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