Definition:Linear Measure/Units

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Definition

The SI unit of linear measure is the metre.

The CGS unit of linear measure is the centimetre.

The FPS unit of linear measure is the foot.


Metre

The metre is the SI base unit of length.

It is defined as the distance travelled by light in vacuum in $\dfrac 1 {299 \ 792 \ 458}$ of a second.

\(\ds \) \(\) \(\ds 1\) metre
\(\ds \) \(=\) \(\ds 100\) centimetres
\(\ds \) \(=\) \(\ds 1000\) millimetres
\(\ds \) \(=\) \(\ds 1 \, 000 \, 000\) micrometres
\(\ds \) \(=\) \(\ds 39 \cdotp 3708\) inches
\(\ds \) \(=\) \(\ds 3 \cdotp 28\) feet
\(\ds \) \(=\) \(\ds 1 \cdotp 09\) yards


Centimetre

The centimetre is the CGS base unit of length.

\(\ds \) \(\) \(\ds 1\) centimetre
\(\ds \) \(=\) \(\ds 10\) millimetres
\(\ds \) \(=\) \(\ds 10 \, 000\) micrometres
\(\ds \) \(=\) \(\ds 0 \cdotp 01\) metre
\(\ds \) \(=\) \(\ds 0 \cdotp 39370 \, 8\) inch
\(\ds \) \(=\) \(\ds 0 \cdotp 0328\) foot
\(\ds \) \(=\) \(\ds 0 \cdotp 0109\) yard


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)