Arc Length of a Circle
Length (L) - Total length of any circular curve measured along the arc.- Angle (\(\Delta\)) - Two rays sharing a common point.
- Center (cp) - Having all points on the line circumference are at equal distance from the center point.
- Chord (c) - Also called long chord (LC), is between any two points on a circular curve.
- Circle - All points are at a fixed equal distance from a radius point (rp).
- Circumference (C) - The outside of a circle or a complete circular arc.
- Height (h) - Length of radius from radius center to midpoint of chord.
- Height (h') - Length of radius from midpoint of chord to point on circular curve.
- Major Arc - The longest of two arcs of a circle or ellipse.
- Minor Arc - The shorter of two arcs of a circle or ellipse.
- Radius (r) - Half the diameter of a circle. A line segment between the center point and a point on a circle or sphere.
- Radius Point (rp) - Radius center point of circular curve.
- Sector is a fraction of the area of a circle with a radius on each side and an arc.
- Segment is an interior part of a circle bound by a chord and an arc.
- Tangent (T) - A line that touches a curve at just one point such that it is perpendicular to a radius line of the curve.
arc Length of a Circle formulas |
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\( L \;=\; \Delta \; r \) (when \(\; \Delta \;\) is in radians) \( L \;=\; \Delta \; ( \pi \;/\; 180 ) \; r \) (when \(\; \Delta \;\) is in degrees) |
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| Symbol | English | Metric |
| \( L \) = length | \( in \) | \( mm \) |
| \( \Delta \) = angle | \( deg \) | \( rad \) |
| \( \pi \) = Pi | \(3.141 592 653 ...\) | |
| \( r \) = radius | \( in \) | \(mm \) |
Tags: Circle