Display Title
Definition--Circle Concepts--Arc Length
Display Title
Arc Length
Topic
Circles
Definition
An arc length is the distance along the curved line making up the arc.
Description
The arc length is a crucial concept in geometry, particularly when dealing with circles. It is calculated using the formula
L = rθ
where L is the arc length, r is the radius of the circle, and θ is the central angle in radians. Understanding arc length is essential for real-world applications such as engineering and architecture, where precise measurements are necessary for constructing curved structures. In math education, learning about arc length helps students grasp the broader concept of measuring curves, which is foundational for calculus and other advanced mathematical studies.
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 | 2014 |
| Keywords | defnitions, geometry, circle |
