Two-dimensional figures
Square
[[$ \qquad A =a^2 $]]
[[$ \qquad d = \sqrt {2}a $]]
Rectangle
[[$ \qquad A =ab $]]
[[$ \qquad d = \sqrt{a^2+b^2} $]]
Rhombus
Parallelogram
[[$ \qquad A = ah = ab \space \text{sin} \space \alpha $]]
Trapezium
[[$ \qquad A = \dfrac{1}{2}(a+b)h = \dfrac{1}{2}(a+b)s \space \text{sin} \space \alpha $]]
Triangle
[[$ \qquad A= \dfrac{1}{2}ah = \dfrac{1}{2}ab \text{ sin } \alpha $]]
Circle
[[$ \qquad A = \pi r^2 = \dfrac{1}{4} \pi d^2 $]]
[[$ \qquad p = 2 \pi r = \pi d $]]
Sector
[[$ \qquad b = \dfrac{\alpha}{360°} 2\pi r $]] (length of arc)
[[$ \qquad A = \dfrac{\alpha}{360°} \pi r^2 = \dfrac{br}{2} $]]