Display Title
Definition--Circle Concepts--Equation of a Circles
Display Title
Equation of a Circle
Topic
Circles
Definition
The equation of a circle in a plane is (x − h)2 + (y − k)2 = r2, where (h , k) is the center and r is the radius.
Description
The equation of a circle is a fundamental concept in geometry, representing the set of all points equidistant from a given center. It is widely used in fields such as computer graphics, navigation, and physics, where precise positioning and movement of circular objects are required. The standard equation provides a framework for analyzing and solving problems involving circles, such as finding intersections and tangents. In mathematics education, mastering the equation of a circle is crucial for students as it provides a foundation for understanding more complex geometric shapes and concepts, such as ellipses and hyperbolas, and helps in developing algebraic and geometric reasoning skills.
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 |
|---|---|
| Grade Range | 4 - 8 |
| Curriculum Nodes |
Geometry • Circles • Definition of a Circle |
| Copyright Year | 2021 |
| Keywords | defnitions, geometry, circle |
