The term Arc has various applications across different fields, each with its own context and history:
In Mathematics, an arc refers to a segment of a curve, especially a portion of a Circle. The length of an arc can be calculated using the formula \( L = r\theta \), where \( L \) is the arc length, \( r \) is the radius, and \( \theta \) is the angle in radians subtended by the arc at the center of the circle. In Physics, an arc often refers to an electrical arc, which is a luminous electrical discharge between two electrodes through an ionized gas.
In Architecture, an arc is part of the structural or decorative element known as an Arch. Arches have been used since ancient times in various cultures for both structural support and aesthetic appeal. The Roman Aqueducts are a notable example of the use of arches in engineering. An arc in this context can refer to the curved section of an arch or the space between two points along the curve.
In Literature and Film, a narrative Story Arc describes the overall shape or structure of a story, detailing how the plot develops from beginning to end. This includes the Character Development and the evolution of the storyline through exposition, rising action, climax, falling action, and resolution. A well-known example is the Hero's Journey, a narrative structure proposed by Joseph Campbell.
In Computing, Arc can refer to:
Geographically, an Arc can denote a curved or semicircular feature on the earth's surface, such as an Arc of the United States or the Alaska-Aleutian Arc, which is part of the Pacific Ring of Fire.