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An arc of the circle is a proportion of its circumference. if the angle at the centre of a circle with radius r is θ°, then the length of the arc is given by:

arc_length = 2πr × θ°/360° = πrθ ÷ 180

If the angle α is measured in radians instead, then a full turn is 2π radians, and:

arc_length = 2πr × α/2π = αr

ie the arc_length is the angle measured in radians times the radius.

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Q: What is the equation to find the arc length of a circle?
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