Calculate angles from side lengths

Calculator and formula for calculating the angles angles from side lengths a, b, c


With this calculator the angles of a triangle are calculated from the side lengths a, b and c

Enter the lengths of the 3 sides, then click the 'Calculate' button.


Angle calculator

 Input
Side length a
Side length b
Side length c
Decimal places
 Resultat
Angle α
Angle β
Angle γ
Triangle

Formulas for calculation of angles



Angle α

\(\displaystyle α = acos\left(\frac{b^2+c^2-a^2}{2bc} \right)\)

Angle β

\(\displaystyle β = acos\left(\frac{a^2+c^2-b^2}{2ac} \right)\)

Angle γ

\(\displaystyle γ = acos\left(\frac{a^2+b^2-c^2}{2ab} \right)\)


Angle functions

From Deg, Min, Sec to DecimalFrom Degree to PercentAngle sumSide lengths from angles

Circular functions

AnnulusAnnulus sectorCircleCircular anglesCircular arcsCircular sectorCircular segmentEllipseParabolic archSquaring the Circle