km² a acre convertidor - Kilómetro cuadrado a Acre

Conversion derivation

Express both km² and acre 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 acre in the base unit

   $$1\mathrm{acre}=4,046.86{\mathrm{m}}^2$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{k}{\mathrm{m}}^2& =\frac{1,000,000\cancel{{\mathrm{m}}^2}}{4,046.86\cancel{{\mathrm{m}}^2}}\times 1\mathrm{acre}\\ & =\frac{1,000,000}{4,046.86}\mathrm{acre}\\ & =247.105163015\mathrm{acre}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{acre}& =\frac{4,046.86\cancel{{\mathrm{m}}^2}}{1,000,000\cancel{{\mathrm{m}}^2}}\times 1\mathrm{k}{\mathrm{m}}^2\\ & =\frac{4,046.86}{1,000,000}\mathrm{k}{\mathrm{m}}^2\\ & =0.00404686\mathrm{k}{\mathrm{m}}^2\end{array}$$