Minor Arc
An arc of a circle whose measure is less than 180 degrees.
A minor arc is a part of a circle that measures less than 180 degrees. It starts from one point on the circle and ends at another point on the circle without passing through the center of the circle. The length of the minor arc is proportional to the angle it subtends at the center of the circle. Specifically, the length of the minor arc is equal to the radius of the circle multiplied by the measure of the angle in radians that the arc subtends at the center of the circle.
For example, if a circle has a radius of 5 units and the angle subtended by the minor arc is 60 degrees, it will subtend an angle of 1/3 (60/180) of a full circle at the center of the circle. In radians, this angle is π/3. Therefore, the length of the minor arc will be 5 * π/3 = (5/3)π units.
Minor arcs are commonly used in geometry and trigonometry to measure angles, calculate arc lengths, and solve problems involving circles and circular motion.
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