Exploring Minor Arcs in Geometry and Trigonometry: Definition, Calculation, and Application of Minor Arcs in Math.

Minor Arc

an arc of a circle whose length is less than half the circle

A minor arc is a portion of a circle that is less than 180 degrees. It is defined by two points on the circumference of the circle and the arc of the circle that lies between them. The endpoints of the arc are called the arc’s terminals.

For example, if you have a circle with center point C and two points A and B on its circumference, the minor arc AB would be the portion of the circle’s circumference that lies between A and B and passes through points C.

Minor arcs are commonly used in geometry and trigonometry to calculate angles and distances. For instance, if you know the length of a minor arc and the radius of the circle that it belongs to, you can use trigonometry to find the central angle of the arc.

Additionally, minor arcs can be used to measure the length of an angle. For example, if you draw an angle with its vertex on the center of the circle, the length of the minor arc corresponding to the angle can be calculated and used to find the measure of the angle in degrees.

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