Circular Angles Calculator
Calculator and formula to calculate circular angles
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.
|
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
\(\displaystyle r = \sqrt{\frac{s^2}{2·(1-cos(µ))}}\)
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
|
|