s = rθ
Arc Length
Arc length equals radius times the central angle in radians.
NUT ENGINEERING TOOLS
Arc / Chord Solver
See It. Solve It. Understand It.
Enter a valid combination of circle and arc measurements. Nut solves the remaining geometry and shows how the relationships work.
Live Geometry
Diagram updates when the arc geometry is solved.
Enter What You Know
Enter a valid combination of measurements. Leave unknown values blank.
02
Calculated Results
Complete arc geometry from the measurements you entered.
Radius
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Diameter
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Central Angle
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Arc Length
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Chord Length
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Sagitta
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03
Your Solution
Nut shows the actual equations and values used to solve the arc.
Enter known measurements and solve the arc to see the steps.
04
How It Works
Arc, chord, angle, and sagitta are all related through the circle radius.
c = 2r sin(θ ÷ 2)
Chord Length
The chord connects the two endpoints of the arc.
h = r − r cos(θ ÷ 2)
Sagitta
Sagitta is the maximum distance from the chord to the arc.
θ = s ÷ r
Central Angle
The central angle can be recovered from radius and arc length.
Nut Industries V2 — Development Preview