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 \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx27878511.514\approx2.7879 \times 10^{7}\)
\(\text{Conversion Equation}\)
\(1.0\left(square \text{ } mile\right)\approx{\color{rgb(20,165,174)} 2.7879 \times 10^{7}}\left(square \text{ } link\right)\)
