Length · Unit Converter

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.

Written by Sunith Babu L, Ph.D., Lead Engineer Reviewed by Girish V Kulkarni Ph.D.
Length category 2 min read Published Last reviewed Updated

Units explained

Metric / SI

Centimeter

What is a 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.

Origin of the centimeter

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.

Where it is used

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.

When and where it was developed

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.

Imperial / US Customary

Microinch

What is a 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.

Origin of the microinch

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.

Where it is used

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.

When and where it was developed

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:

1 cm = 393700.7874015748 µin
1 µin = 2.54e-6 cm

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

  1. Write down the value in centimeters (cm).
  2. Multiply that value by the factor 393700.7874015748.
  3. The product is the equivalent value in microinches (µin).
  4. 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]
0.013937.0078740157
0.139370.0787401575
1393700.7874015748
2787401.5748031497
31181102.3622047245
41574803.1496062994
51968503.9370078743
103937007.8740157485
207874015.748031497
301.181102e+7
401.574803e+7
501.968504e+7
1003.937008e+7
5001.968504e+8
10003.937008e+8

Frequently asked questions

How many microinches is 1 centimeter?
1 centimeter equals 393700.7874015748 microinch.
How do I convert centimeters to microinches?
Multiply the value in centimeters by 393700.7874015748 to get microinches.
How do I convert microinches back to centimeters?
Multiply the value in microinches by 2.54e-6, or use the Microinch to Centimeter converter.
How many microinches is 100 centimeters?
100 centimeters equals 3.937008e+7 microinches, because 100 × 393700.7874015748 = 3.937008e+7.

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:

Results are provided for general reference. Verify critical measurements against an authoritative standard.