Circular Arcs Calculator

Calculator and formula for calculating an arc of a circle

Calculation of the arc of a circle

This calculator calculates various parameters for an arc of a circle. An arc of a circle is a part of a circle whose length is determined by the angle of the circle sector and the radius of the circle.

In the menu, select the two parameters that you know and enter their values, then click the 'Calculate' button.


Circular Arcs Calculator

 Eingabe
Decimal places
 Results
Angle α
Radius r
Chord c
Circular arc l
circular arc

Formulas for the arc of a circle


Chord c

\(\displaystyle c =2· sin\left(\frac{α}{2}\right)·r\)

Circular arc l

\(\displaystyle l = 2·π·r ·\frac{α}{360} \)

Angle α

\(\displaystyle α = 2 · arcsin\left(\frac{c}{2 · r} \right)\)

Radius r

\(\displaystyle r = \frac{l · 360}{2·π·α}\)


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