Understanding and Classifying Arcs in Mathematics | A Comprehensive Guide

Arc

In mathematics, an arc refers to a part of a curve in a plane

In mathematics, an arc refers to a part of a curve in a plane. More specifically, it is a portion of the circumference of a circle or an ellipse. The arc is determined by two endpoints and includes all the points on the curve between those two endpoints.

Arcs are commonly measured in terms of their length, which is equivalent to the distance along the curve between the two endpoints. To denote an arc, it is common to label the two endpoints with capital letters and include a curved line or a number above the arc to indicate its length.

Arcs can also be categorized based on their position relative to the center of the circle or ellipse. There are three main types of arcs: minor arcs, major arcs, and semicircles.

1. Minor Arc: This type of arc refers to the smaller portion of the curve between two endpoints. It is the shorter path on the circumference of a circle or ellipse.

2. Major Arc: In contrast to the minor arc, a major arc is the larger portion of the curve between two endpoints. It is the longer path on the circumference of a circle or ellipse.

3. Semicircle: This arc is exactly half of the circumference of a circle. It is defined by two endpoints and includes all the points on the circle between those two points.

Arcs are commonly used in geometry and trigonometry to study angles and measure lengths. They play an essential role in understanding circular and elliptical shapes and their properties.

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