Convert square mile to square link

Learn how to convert 1 square mile to square link step by step.

Calculation Breakdown

Set up the equation
$$1.0\left(square \text{ } mile\right)={\color{rgb(20,165,174)} x}\left(square \text{ } link\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(square \text{ } meter\right)$$
$$\text{Left side: 1.0 } \left(square \text{ } mile\right) = {\color{rgb(89,182,91)} 2589998.47031952\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} 2589998.47031952\left(m^{2}\right)}$$
$$\text{Right side: 1.0 } \left(square \text{ } link\right) = {\color{rgb(125,164,120)} 9.290304 \times 10^{-2}\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 9.290304 \times 10^{-2}\left(m^{2}\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(square \text{ } mile\right)={\color{rgb(20,165,174)} x}\left(square \text{ } link\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 2589998.47031952} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 9.290304 \times 10^{-2}}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 2589998.47031952} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 9.290304 \times 10^{-2}} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 2589998.47031952} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 9.290304 \times 10^{-2}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}$$
$$\text{Conversion Equation}$$
$$2589998.47031952 = {\color{rgb(20,165,174)} x} \times 9.290304 \times 10^{-2}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 9.290304 \times 10^{-2} = 2589998.47031952$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{9.290304 \times 10^{-2}}\right)$$
$${\color{rgb(20,165,174)} x} \times 9.290304 \times 10^{-2} \times \dfrac{1.0}{9.290304 \times 10^{-2}} = 2589998.47031952 \times \dfrac{1.0}{9.290304 \times 10^{-2}}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{9.290304}} \times {\color{rgb(99,194,222)} \cancel{10^{-2}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{9.290304}} \times {\color{rgb(99,194,222)} \cancel{10^{-2}}}} = 2589998.47031952 \times \dfrac{1.0}{9.290304 \times 10^{-2}}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{2589998.47031952}{9.290304 \times 10^{-2}}$$
Rewrite equation
$$\dfrac{1.0}{10^{-2}}\text{ can be rewritten to }10^{2}$$
$$\text{Rewrite}$$
$${\color{rgb(20,165,174)} x} = \dfrac{10^{2} \times 2589998.47031952}{9.290304}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx27878511.514\approx2.7879 \times 10^{7}$$
$$\text{Conversion Equation}$$
$$1.0\left(square \text{ } mile\right)\approx{\color{rgb(20,165,174)} 2.7879 \times 10^{7}}\left(square \text{ } link\right)$$