Definition:Imperial/Length

From ProofWiki
Jump to navigation Jump to search

Definition

The imperial units of length are as follows:


Microinch

The microinch is an imperial unit of length.

\(\ds \) \(\) \(\ds 1\) microinch
\(\ds \) \(=\) \(\ds 10^{-3}\) mil
\(\ds \) \(=\) \(\ds 10^{-6}\) inch
\(\ds \) \(=\) \(\ds 0 \cdotp 0254\) micrometre \(\quad\) (exact)
\(\ds \) \(=\) \(\ds 2 \cdotp 54 \times 10^{-5}\) millimetres \(\quad\) (exact)
\(\ds \) \(=\) \(\ds 2 \cdotp 54 \times 10^{-8}\) metres \(\quad\) (exact)


Mil

The mil is an imperial unit of length.

\(\ds \) \(\) \(\ds 1\) mil
\(\ds \) \(=\) \(\ds \dfrac 1 {1000}\) inch
\(\ds \) \(=\) \(\ds 1000\) microinches
\(\ds \) \(=\) \(\ds 25 \cdotp 4\) micrometres \(\quad\) (exact)
\(\ds \) \(=\) \(\ds 0 \cdotp 0254\) millimetres \(\quad\) (exact)
\(\ds \) \(=\) \(\ds 2 \cdotp 54 \times 10^{-5}\) metres \(\quad\) (exact)


Inch

The inch is an imperial and FPS unit of length.

\(\ds \) \(\) \(\ds 1\) inch
\(\ds \) \(=\) \(\ds \dfrac 1 {12}\) foot
\(\ds \) \(=\) \(\ds 2 \cdotp 54\) centimetres \(\quad\) (exact)
\(\ds \) \(=\) \(\ds 0 \cdotp 0254\) metres \(\quad\) (exact)


Link

\(\ds \) \(\) \(\ds 1\) link
\(\ds \) \(=\) \(\ds 7 \cdotp 92\) inches
\(\ds \) \(=\) \(\ds \dfrac 1 {100}\) chains
\(\ds \) \(=\) \(\ds 201 \cdotp 168\) millimetres


Foot

The foot is the FPS base unit and an imperial unit of length.

\(\ds \) \(\) \(\ds 1\) foot
\(\ds \) \(=\) \(\ds 12\) inches
\(\ds \) \(=\) \(\ds \dfrac 1 3\) yard
\(\ds \) \(=\) \(\ds 30 \cdotp 48\) centimetres \(\quad\) (exact)
\(\ds \) \(=\) \(\ds 0 \cdotp 3048\) metres \(\quad\) (exact)


Yard

\(\ds \) \(\) \(\ds 1\) yard
\(\ds \) \(=\) \(\ds 3\) feet
\(\ds \) \(=\) \(\ds 36\) inches
\(\ds \) \(=\) \(\ds 91 \cdotp 44\) centimetres
\(\ds \) \(=\) \(\ds 0 \cdotp 9144\) metres


Rod, Pole or Perch

\(\ds \) \(\) \(\ds 1\) rod, pole or perch
\(\ds \) \(=\) \(\ds 5 \tfrac 1 2\) yards
\(\ds \) \(=\) \(\ds 16 \tfrac 1 2\) feet
\(\ds \) \(=\) \(\ds 198\) inches
\(\ds \) \(=\) \(\ds 502 \cdotp 92\) centimetres
\(\ds \) \(=\) \(\ds 5 \cdotp 0292\) metres


Chain

\(\ds \) \(\) \(\ds 1\) chain
\(\ds \) \(=\) \(\ds 4\) rods, poles or perches
\(\ds \) \(=\) \(\ds 22\) yards
\(\ds \) \(=\) \(\ds 66\) feet
\(\ds \) \(=\) \(\ds 792\) inches
\(\ds \) \(=\) \(\ds 100\) links
\(\ds \) \(=\) \(\ds 20 \cdotp 1168\) metres


Furlong

\(\ds \) \(\) \(\ds 1\) furlong
\(\ds \) \(=\) \(\ds 10\) chains
\(\ds \) \(=\) \(\ds 40\) rods, poles or perches
\(\ds \) \(=\) \(\ds 220\) yards
\(\ds \) \(=\) \(\ds 660\) feet
\(\ds \) \(=\) \(\ds 201 \cdotp 168\) metres


International Mile

The (international) mile is an imperial unit of length.

\(\ds \) \(\) \(\ds 1\) (international) mile
\(\ds \) \(=\) \(\ds 8\) furlongs
\(\ds \) \(=\) \(\ds 80\) chains
\(\ds \) \(=\) \(\ds 320\) rods, poles or perches
\(\ds \) \(=\) \(\ds 1760\) yards
\(\ds \) \(=\) \(\ds 5280\) feet
\(\ds \) \(=\) \(\ds 1609 \cdotp 344\) metres \(\quad\) (exact)


League

\(\ds \) \(\) \(\ds 1\) league
\(\ds \) \(\) \(\ds 3\) (international) miles
\(\ds \) \(=\) \(\ds 5280\) yards
\(\ds \) \(\approx\) \(\ds 2\) leuca
\(\ds \) \(\approx\) \(\ds 3000\) paces
\(\ds \) \(=\) \(\ds 4828 \cdotp 032\) metres (exactly)