km² in mm² Umrechner - Quadratkilometer in Quadratmillimeter

Conversion derivation

Express both km² and mm² in the same base unit m² (square meter), then cancel the shared base unit.

1. 1

   Rewrite km² in the base unit

   $$1\mathrm{k}{\mathrm{m}}^2=1,000,000{\mathrm{m}}^2$$
2. 2

   Rewrite mm² in the base unit

   $$1\mathrm{m}{\mathrm{m}}^2=0.000001{\mathrm{m}}^2$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{k}{\mathrm{m}}^2& =\frac{1,000,000\cancel{{\mathrm{m}}^2}}{0.000001\cancel{{\mathrm{m}}^2}}\times 1\mathrm{m}{\mathrm{m}}^2\\ & =\frac{1,000,000}{0.000001}\mathrm{m}{\mathrm{m}}^2\\ & =1\times 10^{12}\mathrm{m}{\mathrm{m}}^2\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{m}{\mathrm{m}}^2& =\frac{0.000001\cancel{{\mathrm{m}}^2}}{1,000,000\cancel{{\mathrm{m}}^2}}\times 1\mathrm{k}{\mathrm{m}}^2\\ & =\frac{0.000001}{1,000,000}\mathrm{k}{\mathrm{m}}^2\\ & =1\times 10^{-12}\mathrm{k}{\mathrm{m}}^2\end{array}$$