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Q14.

Expert-verifiedFound in: Page 18

Book edition
7th

Author(s)
Douglas C. Giancoli

Pages
978 pages

ISBN
978-0321625922

**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?**

There are possibly $2.471088267$ acres in one hectare.

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

** **

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

**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 $N=2.471088267$.

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