Radius And Angle To Chord Length Converter

Calculate the chord length from a radius and central angle from 0 to one full turn. The result uses the same length unit as the radius.






Conversion Table (radius = 2)

RadiusAngleUnitChord Length
20degrees0.000000
260degrees2.000000
290degrees2.828427
2180degrees4.000000
2270degrees2.828427
2360degrees0.000000
21.570796326794897radians2.828427
2100gradians2.828427
20.25turns2.828427

How This Converter Works

Calculates chord length from a positive circle radius and a central angle from zero through one full turn. The angle can be degrees, radians, gradians, or turns; the result uses the same length unit as the radius. Invalid values show Invalid input and results are fixed to six decimals.

Formula or rule

chordLength = 2 * radius * abs(sin(angleRadians / 2))

Example

Input
Radius 2; angle 90 degrees
Calculation
2 * 2 * abs(sin((90 * pi / 180)/2))
Result
2.828427 length units