Question

One hectare is defined as$\mathbf{1}\mathbf{\times }{\mathbf{10}}^{\mathbf{4}}{\mathbf{m}}^{\mathbf{2}}$. One acre is$\mathbf{4}\mathbf{.}\mathbf{356}\mathbf{\times }{\mathbf{10}}^{\mathbf{4}}{\mathbf{ft}}^{\mathbf{2}}$. How many acres are there in one hectare?

Short answer

There are possibly $2.471088267$acres in one hectare.

Step-by-step solution

Step 1. Converting one acre into meters

To measure the pieces of land, a unit known as an acre is used. One acre is equivalent to 4047 square meters and 4840 square yards.

Using the formula to express one acre in meters, you get

$\begin{array}{c}1\mathrm{acre}=\left(4.356\times {10}^4{\mathrm{ft}}^2\times \frac{1{\mathrm{m}}^2}{10.764{\mathrm{ft}}^2}\right)\\ =4046.8{\mathrm{m}}^2.\end{array}$

Step 2. Converting acres into hectare

In the metric system, one hectare is the unit of measurement of area. For example, the area of a piece of land. One hectare is equivalent to 10000 square meters.

Using the formulate to determine the number of acres in one hectare, you get

$\begin{array}{c}N=\frac{1\mathrm{acre}}{1\mathrm{hectare}}\\ =\left(\frac{1\times {10}^4{\mathrm{m}}^2}{4046.8{\mathrm{m}}^2}\right)\\ =2.471088267.\end{array}$

Thus, the number of acres in one hectare is $N=2.471088267$.