acre 에서 mi² 변환기 - 에이커 에서 제곱마일

Conversion derivation

Express both acre and mi² in the same base unit m² (square meter), then cancel the shared base unit.

1. 1

   Rewrite acre in the base unit

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

   $$\begin{array}{rl}1\mathrm{acre}& =\frac{4,046.86\cancel{{\mathrm{m}}^2}}{2,589,988.11\cancel{{\mathrm{m}}^2}}\times 1\mathrm{m}{\mathrm{i}}^2\\ & =\frac{4,046.86}{2,589,988.11}\mathrm{m}{\mathrm{i}}^2\\ & =0.001562501382\mathrm{m}{\mathrm{i}}^2\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{m}{\mathrm{i}}^2& =\frac{2,589,988.11\cancel{{\mathrm{m}}^2}}{4,046.86\cancel{{\mathrm{m}}^2}}\times 1\mathrm{acre}\\ & =\frac{2,589,988.11}{4,046.86}\mathrm{acre}\\ & =639.999434129\mathrm{acre}\end{array}$$