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keisanHigh-precision calculations for everyday life and work

Given any two of the following: arc length, chord length, rise, or radius, calculate the remaining value.

Author: tonagaiExecutions: 2237358

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Enter values for any two of the following: arc length (L), chord length (d), arc height (h), or radius (r). Then, enter 0 for the remaining two (do not leave them blank), and the calculator will compute the remaining two values and the central angle.It uses the formulas L = r * θ, d = 2 * r * sin(θ/2), and h = r * (1 - cos(θ/2)), and performs calculations using the Newton-Raphson method.
*It now supports central angles greater than 180° and cases where there are two solutions.
*January 2026
We have created a new version with significantly improved design and usability. Please feel free to use this one as well.
https://sci.tea-nifty.com/blog/files/circlecalc.html
The most common reasons why the calculator doesn’t work or doesn’t produce an answer are:
(1) You haven’t entered “0” for the two values you want to calculate—don’t leave them blank.
(2) You’ve entered impossible values (for example, the chord length is longer than the arc length).
(3) The number of values entered and the number of values set to “0” do not match.
Please check these points.
Arc length
String Length
Yataka
Radius
Arc length 
String Length 
Yataka 
Radius 
Central Angle °
Arc length Only if there is another solution
String Length Only if there is another solution
Yataka Only if there is another solution
Radius Only if there is another solution
Central Angle °Only if there is another solution

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