Chord Calculator
Calculate chord length from radius and central angle. Free math calculator for geometry.
About This Calculator
Calculate chord length from radius and central angle. Free online math calculator with arc length for geometry, trigonometry, and circular segment analysis.
This free online calculator is part of Calculys comprehensive tool suite. Results update instantly and can be shared via URL.
How It Works
Enter your values and click Calculate. The tool uses validated formulas to compute accurate results with interactive charts and a detailed breakdown table.
Frequently Asked Questions
How is chord length calculated?
c = 2r x sin(theta/2). For radius 10, angle 60 deg: chord = 2 x 10 x sin(30) = 10 units.
What is the relationship between chord and arc?
Arc length = r x theta (radians). Chord = 2r x sin(theta/2). Arc is always longer than chord for theta > 0.
What is the chord of a circle?
A chord is a line segment whose endpoints lie on the circle. The diameter is the longest chord.
How do I find the central angle from chord?
theta = 2 x arcsin(c / (2r)). For chord = 10, radius = 10: theta = 2 x arcsin(0.5) = 60 deg.
What is the sagitta (arc height)?
s = r - sqrt(r2 - (c/2)2). For radius 10, chord 10: sagitta = 10 - sqrt(100 - 25) = 1.34 units.