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There are a number of meanings for the word arc in mathematics. In general, an arc is any smooth curve joining two points. The length of an arc is known as its arc length. In a graph, a graph arc is an ordered pair of adjacent vertices. In particular, an arc is any portion (other than the entire curve) of the circumference of a circle. An arc corresponding to the central angle is denoted . Similarly, the size of the central angle subtended by this arc (i.e., the measure of the arc) is sometimes (e.g., Rhoad et al.
Arc â part of the circumference (edge) of the circle. The measure of an arc is equal to the measure of. the central angle formed by its endponts. Arcs are named by their endpoints. The dashed arc to the. right would be called arc AB. or arc BA, the order of. the endpoints does not matter.