Circular Angles, calculator and formula

This calculator is used to calculate the parameters of a circular angle. The central angle µ determines an arc of a circle and its chord length s. The tangent angle θ specifies the angle of the radius and the chord.

From the menu, choose the two parameters you know and enter their values, then click the 'Calculate' button.

Circular Angles Calculator

Input

Decimal places

Results

Angle θ

Angle µ

Radius r

Chord c

Formulas for circular angles

Angle θ

\(\displaystyle θ = \frac{µ}{2}\)

Angle µ

\(\displaystyle µ = arccos\left(\frac{2·r^2-s^2}{2· r^2} \right)\)

Chord s

\(\displaystyle s = \sqrt{2·r^2·(1-cos(µ))}\)

Radius r

\(\displaystyle r = \sqrt{\frac{s^2}{2·(1-cos(µ))}}\)

Circular Angles Calculator

Calculation of circular angles

Formulas for circular angles

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