Cuadrado
Area:
$$L^2$$
L:
$$ \sqrt[]{Area} $$
D:
$$ L \sqrt[]{2} $$
Rectangulo
Area:
$$ AB $$
D:
$$ \sqrt[]{A^2 + B^2} $$
pitagoras
Paralelogramo
Area:
$$ AH = AB \sin{\alpha} $$
D1:
$$ \sqrt[]{(A+H \cot{\alpha})^2 + H^2} $$
D2:
$$ \sqrt[]{(A-H \cot{\alpha})^2 + H^2} $$
Triangulo
Area:
$$ \frac{AH}{2}$$
Area:
$$ PC $$
Area:
$$ \sqrt[]{S(S-A)(S-B)(S-C)} $$
S:
$$ \frac{A+B+C}{2} $$
Triangulo Equilatero
Area:
$$ \frac{AH}{2}$$
Area:
$$ \frac{A^2}{4} \sqrt[]{3} $$
H:
$$ \frac{A}{2} \sqrt[]{3} $$
Pentagono Regular
Area:
$$ \frac{5}{8} R^2 \sqrt[]{10+2 \sqrt[]{5}}$$
A:
$$ \frac{1}{2} R \sqrt[]{10-2 \sqrt[]{5}}$$
P:
$$ \frac{1}{4} R \sqrt[]{6-2 \sqrt[]{5}}$$
Hexagono Regular
Area:
$$ \frac{3}{2} A^2 \sqrt[]{3} $$
D:
$$ 2A $$
D:
$$ \frac{2}{\sqrt[]{3}} S \cong 1.155S $$
S:
$$ \frac{2}{\sqrt[]{3}} D \cong 0.866D $$
Octagono Regular
Area:
$$ 2AS \cong 0.83S^2 $$
Area:
$$ 2S \sqrt[]{D^2-S^2} $$
A:
$$ S \tan{22.5} \cong 0.415S $$
S:
$$ D cos{22.5} \cong 0.924D $$
D:
$$ \frac{s}{\cos{22.5}} \cong 1.083S $$
Poligono
Area:
$$ A1+A2+A3 $$
Area:
$$ \frac{aH1+bH2+bH3}{2} $$
Circulo
Area:
$$ \frac{\pi}{4} D^2 = \pi R^2 \cong 0.785D^2 $$
Perimetro:
$$ 2 \pi R $$
Corona Circular
Area:
$$ \frac{\pi}{4} (D^2-d^2) $$
Area:
$$ \pi(d+b)d $$
b:
$$ \frac{D-d}{2} $$
Sector Circular
Area:
$$ \frac{\pi}{180} R \alpha \frac{\pi}{360} R^2 \alpha = \frac{BR}{2} $$
B:
$$ \frac{\pi}{180} R \alpha $$
Elipse
Area:
$$\frac{\pi}{4} Dd= \pi ab $$
Perimetro:
$$\cong \pi \frac{D+d}{2} $$
