inch to cm Converter - Inch to Centimeter

Conversion derivation

Express both inch and cm in the same base unit m (meter), then cancel the shared base unit.

1. 1

   Rewrite inch in the base unit

   $$1\mathrm{inch}=0.0254\mathrm{m}$$
2. 2

   Rewrite cm in the base unit

   $$1\mathrm{cm}=0.01\mathrm{m}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{inch}& =\frac{0.0254\cancel{\mathrm{m}}}{0.01\cancel{\mathrm{m}}}\times 1\mathrm{cm}\\ & =\frac{0.0254}{0.01}\mathrm{cm}\\ & =2.54\mathrm{cm}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{cm}& =\frac{0.01\cancel{\mathrm{m}}}{0.0254\cancel{\mathrm{m}}}\times 1\mathrm{inch}\\ & =\frac{0.01}{0.0254}\mathrm{inch}\\ & =0.393700787402\mathrm{inch}\end{array}$$