An arc is a part of the circumference of a circle.
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The relation between the arc of length and the central angle is that the arc of length divided by one of the sides is the central angle in radians. If the arc is a full circle, then the central angle is 2pi radians or 360 degrees.
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You can think of an arc as a fraction of the circumferance of a circle. Also, a complete circle is 2pi radians, so any central angle is THETA / 2pi of a complete circle. Multiply by the circumferance to get the length of the arc: THETA / 2pi * 2(pi)(r) = THETA * r or the length of the arc is simply the radius times the central angle in radians
A part of a circle between two points on a circle is called is called an arc.
In geometry, an arc is a curved portion of a circle. It is defined by two endpoints and the points along the circumference of the circle that lie between the endpoints. The measure of an arc is typically given in degrees.