Determine the angle opposite the arc and divide by 360. Multiply that by the radius and double the resulting quotient. Multiply by pi. This is the length of the arc.
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an arc is a segment of a circle. If the arc subtends a full angle of 360 degrees, then the arc is a circle; but this is a special case of an arc.
circular arc is a segment of the circumference of a circle
Exactly as in the question and a segment of a circle is the area enclosed by a chord and an arc of a circle.
A line segment that is bent to form part of a circle would be considered an arc.
The area within a circle enclosed by a chord and an arc