Minor Arc
Arc less than half the circle
A minor arc is a part of a circle that measures less than 180 degrees and is formed by two points on the circumference and the connecting arc between them. It is called a minor arc because it covers a smaller portion of the circle compared to the major arc, which measures more than 180 degrees.
To distinguish between a minor arc and a major arc, we use a symbol. An arc symbol denoted by two endpoints with a small arc over the top represents a minor arc while an arc symbol denoted by two endpoints with a large arc over the top represents a major arc.
The measure of a minor arc is the measure of its central angle, which is the angle formed between the two radii that intersect at the center of the circle and connect the center to the endpoints of the arc.
Minor arcs have many applications in geometry and trigonometry, including in the calculation of the lengths of circular arcs, areas of sectors, and angles subtended by an arc. They are also used in various real-world applications such as in architecture, engineering, and physics.
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