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Calculate Circular Angles

Calculator for the angles at a circle: central angle and chord tangent angle. The central angle spans a circular arc with a chord length s. The chord tangent angle or inscribed angle is the angle between circle and chord. Please enter two values, but not two circular angles. The other values will be calculated.



Circular Angles
Radius r:
Chord length s:
Central angle μ: °
Chord tangent angle θ: °
Round to    decimal places.

Formulas:

θ = μ/2

μ = arccos[ ( 2 * r² - s² ) / (2r²) ]

s = √ 2 * r² * [ 1 - cos(μ) ]

r = √ s² / { 2 * [ 1 - cos(μ) ] }

Here you can convert radian into degrees.




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