What is Arc in Math?
From the perspective mathematics, an Arc is a smooth curve connecting two distinct points at a certain distance. This curve can be a fragment of a circle, ellipse, or even a hyperbola. In specific cases, it is denoted as a segment of a circle, termed a circular arc. If we extend the ends of an arc, it will form a perfect circle.
Arc is also referred to as an ‘open curve.’ The circle’s perimeter, known as the circumference, defines the boundary. Thus, an arc measures the distance between two traced points along its circumference. For two arcs to be alike, their central angles must be equal.
Definition of Arc
An Arc is the part of a circle’s circumference that lies between two radii.
Arc represents a section of a curve, typically a circle, within a two-dimensional plane. Specifically, if the curve is a circle, we refer to it as a circular arc. In the strictest definition, an Arc is a segment of a curve located on a plane.
Symbol of Arc
The arc in geometry is typically represented by symbols ⌒ or ⌢ and is denoted as ‘arc AB,’ pronounced as such. Hence, ‘arc AB’ can be expressed as AB or equivalently as BA. The sequence of the points does not affect its order.
What is Arc of a Circle?
Arc is a segment of the circumference of a circle or any curved shape. An Arc in geometry is any smooth curve connecting two specific points. Arc is a smooth curve linking these endpoints. The length of an Arc is known as its Arc length. In Mathematics, it commonly refers to a portion of a circle, but it can also be parts of other shapes such as spheres, ellipses, and cylinders.
In this article, we will discuss the introduction, definition, types, and application of an Arc and its meaning. We will also understand measures and formulae to calculate the Arc Length and Arc Angle in mathematics. We will also solve various examples and provide practice questions for a better understanding of the concept of this article.
Table of Content
- What is Arc in Math?
- Arc of a Circle
- Types of Arcs
- Angle of Arc
- Measures of an Arc
- Arc Formula