## minor arc

### A minor arc is a portion of the circumference of a circle that measures less than 180 degrees

A minor arc is a portion of the circumference of a circle that measures less than 180 degrees. It is called “minor” because it covers a smaller angle compared to a major arc, which covers an angle of 180 degrees or more.

To better understand the concept, let’s consider a circle with center O. Any two points on the circumference of the circle will define an arc. If the angle formed by the points and the center of the circle is less than 180 degrees, then the corresponding arc is called a minor arc.

For example, if we consider points A and B on the circumference of the circle, and the angle formed by these points and the center O is less than 180 degrees, then the arc AB is a minor arc. The length of the minor arc AB can be calculated by using the formula:

Arc Length = r * θ

Where r is the radius of the circle and θ is the measure of the central angle subtended by the arc.

It’s important to note that a minor arc can also be denoted by using the endpoints of the arc. In this case, the arc AB would be written as arc BA or simply arc A.

Minor arcs are often used in geometry and trigonometry to calculate various properties of circles, such as arc length, sector area, and central angles.

##### More Answers:

Understanding Planes in Mathematics | Exploring Properties, Definitions, and Applications in Various DisciplinesUnderstanding the Fundamentals | The Role and Characteristics of Points in Mathematics

Understanding Major Arcs | Definition, Properties, and Calculation Methods in Geometry