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Arc

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An arc of a circle is the portion of the circle between two given points on the circle. More generally, an arc is a portion of a smooth curve joining two points.

The measure of a circular arc AB on circle O is defined to be the measure of the central angle \angle AOB which has the arc on its interior. The length of an arc can be calculated by the formula s = r\theta, where r is the radius of the circle and \theta is the measure of the arc, in radians. Thus, in particular, the circumference of a circle is given by C = 2\pi.

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Arc is also used as a prefix. For each of the standard trigonometric functions, the arc-function is (one of) the corresponding inverse function. For example, the arcsine is the inverse of the sine.

Looking for a challenging algebra text? Preparing for MATHCOUNTS or the AMC exams?
Check out Art of Problem Solving's Introduction to Algebra by Richard Rusczyk.
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