Allgemeines Dreieck mit Winkeln und Kanten FormulaLaw of Cosine (Side Length, Angle) $$ c^2 ~=~ a^2 ~+~ b^2 ~-~ 2a\,b\cos(\gamma) $$
Allgemeines Dreieck mit Winkeln und Kanten FormulaLaw of Sine (Side Length, Angle) $$ \frac{a}{\sin(\alpha)} ~=~ \frac{b}{\sin(\beta)} \\ ~=~ \frac{c}{\sin(\gamma)} $$
Trapezoid and its Sides, Height and Angles FormulaTrapezoid (Height, Angle) $$ \class{green}{h} ~=~ c \, \sin(\alpha) $$
Right Circular Cylinder with Radius and Height FormulaRight Circular Cylinder (Volume, Radius, Height) $$ V ~=~ \pi \, r^2 \, \class{red}{h} $$
Sphere with its Radius and Diameter FormulaSphere (Surface Area, Radius) $$ A ~=~ 4\pi \, \class{red}{r}^2 $$
Right Circular Cylinder with Radius and Height FormulaRight Circular Cylinder (Area, Radius, Height) $$ A ~=~ 2\pi \, r \, (r + \class{red}{h}) $$
Trapezoid and its Sides, Height and Angles FormulaTrapezoid (Area, Height, Side Length) $$ A ~=~ \frac{1}{2} \, (a ~+~ b) \, h $$
Dodecahedron and its Side Length FormulaDodecahedron (Area, Side Length) $$ A ~=~ 3 \, a^2 \, \sqrt{25 ~+~ 10 \, \sqrt{5}} $$