Circular Arcs Calculator
Calculator and formula for calculating an 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.
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Formulas for the arc of a circle
Circular arc l
The length of the arc depends on the angle it forms. The proportion of the arc in the entire circumference corresponds to the proportion of the angle in 360° (the entire circle). The formula for calculating the arc of a circle is:
\(\displaystyle l = 2·π·r ·\frac{α}{360} \)
Where α is the angle in degrees and r is the radius of the circle.
Chord c
\(\displaystyle c =2· sin\left(\frac{α}{2}\right)·r\)
Angle α
\(\displaystyle α = 2 · arcsin\left(\frac{c}{2 · r} \right)\)
Radius r
\(\displaystyle r = \frac{l · 360}{2·π·α}\)
Angle functions
From Deg, Min, Sec to Decimal • From Degree to Percent • Angle sum • Side lengths from anglesCircular functions
Annulus • Annulus sector • Circle • Circular angles • Circular arcs • Circular sector • Circular segment • Ellipse • Parabolic arch • Squaring the Circle
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