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#### Display Title

Definition--Circle Concepts--Center of a Circle

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# Center of a Circle

## Topic

Circles

## Definition

The center of a circle is the point equidistant from all points on the circle.

## Description

The center of a circle is a pivotal concept in geometry, serving as the reference point from which the radius is measured. It is crucial in defining the circle's position in a plane and is used in various applications such as navigation, where the center can represent a central point of rotation or balance. In mathematical terms, the center is often denoted as the point (h , k) in the Cartesian coordinate system, where all points on the circle satisfy the equation

(x − h)^{2} + (y − k)^{2} = r^{2}

Understanding the center of a circle is essential in math education as it helps students develop a deeper comprehension of geometric properties and relationships, which are foundational for advanced studies in geometry and trigonometry.

For a complete collection of terms related to Circles click on this link: __Circles Collection.__

Common Core Standards | CCSS.MATH.CONTENT.HSG.C.A.2, CCSS.MATH.CONTENT.HSG.C.A.1, CCSS.MATH.CONTENT.HSG.C.A.3, CCSS.MATH.CONTENT.HSG.C.A.4, CCSS.MATH.CONTENT.4.MD.C.5.A, CCSS.MATH.CONTENT.7.G.B.4 |
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Grade Range | 4 - 8 |

Curriculum Nodes |
Geometry• Circles• Definition of a Circle |

Copyright Year | 2014 |

Keywords | defnitions, geometry, circle |