Convert Centimeter to Microinch
Convert centimeters to microinches instantly. 1 centimeter = 393700.7874015748 microinch — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Microinch to Centimeter converter for the reverse conversion.
Units explained
Centimeter
A centimeter is a metric unit of length equal to one hundredth of a meter (1/100 m). It is one of the most commonly used SI sub-units in daily life, especially for measuring small objects, body dimensions, paper sizes, and short distances.
The centimeter emerged from the French metric system established by the French Academy of Sciences in 1793. The metric system introduced decimal-based prefixes (milli-, centi-, deci-, deca-, hecto-, kilo-) to create proportional sub-units of the meter.
Centimeters are the standard unit for everyday measurement in nearly every country outside the United States. They are used for body height, clothing sizes, rainfall, paper formats (A4 is 21 × 29.7 cm), screen dimensions, and most consumer product specifications.
Developed in France during the late 18th century as part of the metric system designed by the French Academy of Sciences. Formally adopted in France in 1795 and ratified internationally through the Metre Convention signed in Paris in 1875.
Microinch
A microinch is an Imperial unit of length equal to one millionth of an inch (2.54×10⁻⁸ m). It is used almost exclusively in surface-finish specifications for precision machining and optical components.
The microinch is derived from the inch using the SI-style prefix micro- to denote one millionth. Standardised through the 1959 International Yard and Pound Agreement, which fixed the inch at exactly 25.4 mm.
Microinches express surface roughness (Ra values) in US-based precision manufacturing — typical machined surfaces are 16–125 µin. Optical components and bearing races are often specified to 1–4 µin Ra.
Used in US precision-manufacturing literature throughout the 20th century; value became exact in 1959 when the inch was fixed at 25.4 mm via the International Yard and Pound Agreement.
Centimeter to Microinch conversion formula
The relationship between centimeters and microinches:
To convert centimeters to microinches, multiply the value in centimeters by 393700.7874015748. To reverse, multiply microinches by 2.54e-6.
How to use this converter
Type a value into the calculator. The result in microinches updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Microinch to Centimeter converter for the reverse direction.
Step-by-step: convert centimeters to microinches
- Write down the value in centimeters (cm).
- Multiply that value by the factor 393700.7874015748.
- The product is the equivalent value in microinches (µin).
- To reverse, multiply the microinch value by 2.54e-6.
Worked examples
Example 1 — Convert 1 cm to µin:
1 × 393700.7874015748 = 393700.7874015748 µin
Example 2 — Convert 100 cm to µin:
100 × 393700.7874015748 = 3.937008e+7 µin
Real-world example — Centimeter to wavelength scale
One centimeter equals 10 million microinches. Physics curricula use this kind of conversion to relate everyday measurements to atomic and optical scales.
1 cm × 393700.7874015748 = 393700.7874015748 µin
Real-world example — Small-scale to atomic-scale
One centimeter equals 10 million microinches — useful for physics curricula that relate everyday measurements to atomic and optical scales.
1 cm × 393700.7874015748 = 393700.7874015748 µin
Centimeter to Microinch conversion table
Standard reference values for converting centimeters to microinches:
| Centimeter [cm] | Microinch [µin] |
|---|---|
| 0.01 | 3937.0078740157 |
| 0.1 | 39370.0787401575 |
| 1 | 393700.7874015748 |
| 2 | 787401.5748031497 |
| 3 | 1181102.3622047245 |
| 4 | 1574803.1496062994 |
| 5 | 1968503.9370078743 |
| 10 | 3937007.8740157485 |
| 20 | 7874015.748031497 |
| 30 | 1.181102e+7 |
| 40 | 1.574803e+7 |
| 50 | 1.968504e+7 |
| 100 | 3.937008e+7 |
| 500 | 1.968504e+8 |
| 1000 | 3.937008e+8 |
Frequently asked questions
How many microinches is 1 centimeter?
How do I convert centimeters to microinches?
How do I convert microinches back to centimeters?
How many microinches is 100 centimeters?
Popular length unit conversions
Convert Centimeter to other length units
Show all Centimeter conversions
Metric / SI (17 units)
Imperial / US Customary (27 units)
Nautical (1 units)
Astronomical (9 units)
Atomic / Physics (6 units)
Typographic (3 units)
Sources & references
Conversion factor (1 cm = 393700.7874015748 µin) verified against the following authoritative sources:
- BIPM — The International System of Units (SI Brochure 9th ed.)
Official BIPM publication defining the seven SI base units (including the meter) and the rules for their use. The global authority on units of measurement.
- NIST — Guide to the SI
US National Institute of Standards and Technology reference covering the SI base and derived units with definitions and usage rules for US technical practice.
- NIST Special Publication 811 — Guide for the Use of the International System of Units
Detailed NIST guide covering exact conversion factors between SI and US customary units along with formatting and rounding conventions.
- NIST — Refinement of values for the yard and pound (Federal Register 1959)
The treaty (signed by US
- International Hydrographic Organization — Resolution on the Nautical Mile
International authority that standardised the nautical mile at exactly 1852 m in 1929 — the value adopted worldwide for sea and air navigation.