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Q14.

Expert-verified
Found in: Page 18

### Physics Principles with Applications

Book edition 7th
Author(s) Douglas C. Giancoli
Pages 978 pages
ISBN 978-0321625922

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

There are possibly $2.471088267$ acres in one hectare.

See the 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

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

## 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

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

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