Convert section to juchart
Learn how to convert
1
section to
juchart
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(section\right)={\color{rgb(20,165,174)} x}\left(juchart\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(section\right) = {\color{rgb(89,182,91)} 2589988.110336\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} 2589988.110336\left(m^{2}\right)}\)
\(\text{Right side: 1.0 } \left(juchart\right) = {\color{rgb(125,164,120)} 3870.01\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 3870.01\left(m^{2}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(section\right)={\color{rgb(20,165,174)} x}\left(juchart\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 2589988.110336} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 3870.01}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 2589988.110336} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 3870.01} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 2589988.110336} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 3870.01} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)
\(\text{Conversion Equation}\)
\(2589988.110336 = {\color{rgb(20,165,174)} x} \times 3870.01\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 3870.01 = 2589988.110336\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{3870.01}\right)\)
\({\color{rgb(20,165,174)} x} \times 3870.01 \times \dfrac{1.0}{3870.01} = 2589988.110336 \times \dfrac{1.0}{3870.01}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{3870.01}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{3870.01}}} = 2589988.110336 \times \dfrac{1.0}{3870.01}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{2589988.110336}{3870.01}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx669.24584441\approx6.6925 \times 10^{2}\)
\(\text{Conversion Equation}\)
\(1.0\left(section\right)\approx{\color{rgb(20,165,174)} 6.6925 \times 10^{2}}\left(juchart\right)\)
