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Arc Length Calculator
Calculate arc length, chord length, sector area, segment area, and sagitta
Arc Length Calculator
Understanding Arcs
An arc is a portion of a circle's circumference. Arc length depends on the radius and the central angle. The arc, along with two radii, forms a sector (like a pizza slice), while the arc and chord form a segment.
Key Terms:
- Arc: The curved portion of the circle's edge
- Chord: Straight line connecting the arc's endpoints
- Sector: Pizza slice area (arc + two radii)
- Segment: Area between arc and chord
- Sagitta: Height from chord midpoint to arc
Arc Formulas
s = rθ
Arc length (radians)
c = 2r sin(θ/2)
Chord length
A = (1/2)r²θ
Sector area
h = r(1 - cos(θ/2))
Sagitta