Convert pica to chain
Learn how to convert
1
pica to
chain
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(pica\right)={\color{rgb(20,165,174)} x}\left(chain\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)
\(\text{Left side: 1.0 } \left(pica\right) = {\color{rgb(89,182,91)} 4.21751764217518 \times 10^{-3}\left(meter\right)} = {\color{rgb(89,182,91)} 4.21751764217518 \times 10^{-3}\left(m\right)}\)
\(\text{Right side: 1.0 } \left(chain\right) = {\color{rgb(125,164,120)} 20.1168\left(meter\right)} = {\color{rgb(125,164,120)} 20.1168\left(m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(pica\right)={\color{rgb(20,165,174)} x}\left(chain\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 4.21751764217518 \times 10^{-3}} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 20.1168}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 4.21751764217518 \times 10^{-3}} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 20.1168} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 4.21751764217518 \times 10^{-3}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 20.1168} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)
\(\text{Conversion Equation}\)
\(4.21751764217518 \times 10^{-3} = {\color{rgb(20,165,174)} x} \times 20.1168\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 20.1168 = 4.21751764217518 \times 10^{-3}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{20.1168}\right)\)
\({\color{rgb(20,165,174)} x} \times 20.1168 \times \dfrac{1.0}{20.1168} = 4.21751764217518 \times 10^{-3} \times \dfrac{1.0}{20.1168}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{20.1168}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{20.1168}}} = 4.21751764217518 \times 10^{-3} \times \dfrac{1.0}{20.1168}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{4.21751764217518 \times 10^{-3}}{20.1168}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0002096515\approx2.0965 \times 10^{-4}\)
\(\text{Conversion Equation}\)
\(1.0\left(pica\right)\approx{\color{rgb(20,165,174)} 2.0965 \times 10^{-4}}\left(chain\right)\)
