km² to mi² Converter - Square Kilometer to Square Mile

Conversion derivation

Express both km² and mi² 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 mi² in the base unit

   $$1\mathrm{m}{\mathrm{i}}^2=2,589,988.11{\mathrm{m}}^2$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{k}{\mathrm{m}}^2& =\frac{1,000,000\cancel{{\mathrm{m}}^2}}{2,589,988.11\cancel{{\mathrm{m}}^2}}\times 1\mathrm{m}{\mathrm{i}}^2\\ & =\frac{1,000,000}{2,589,988.11}\mathrm{m}{\mathrm{i}}^2\\ & =0.386102158593\mathrm{m}{\mathrm{i}}^2\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{m}{\mathrm{i}}^2& =\frac{2,589,988.11\cancel{{\mathrm{m}}^2}}{1,000,000\cancel{{\mathrm{m}}^2}}\times 1\mathrm{k}{\mathrm{m}}^2\\ & =\frac{2,589,988.11}{1,000,000}\mathrm{k}{\mathrm{m}}^2\\ & =2.58998811\mathrm{k}{\mathrm{m}}^2\end{array}$$