cm to inch Converter - Centimeter to Inch
Centimeter (cm) to Inch (in) (inch)
Direct answer
1 cm = 0.393700787402 inch
inch = cm × 0.393700787402
Converter
Conversion formula
inch = cm × 0.393700787402
cm = inch × 2.54
Example: 10 cm = 10 × 0.393700787402 = 3.93700787402 inch.
Common conversion table
| cm | inch |
|---|---|
| 1 cm | 0.393700787402 inch |
| 2 cm | 0.787401574803 inch |
| 5 cm | 1.96850393701 inch |
| 10 cm | 3.93700787402 inch |
| 20 cm | 7.87401574803 inch |
| 50 cm | 19.6850393701 inch |
| 100 cm | 39.3700787402 inch |
| 1,000 cm | 393.700787402 inch |
Conversion derivation
Express both cm and inch in the same base unit m (meter), then cancel the shared base unit.
- 1
Rewrite cm in the base unit
- 2
Rewrite inch in the base unit
- 3
Forward conversion
- 4
Reverse conversion
AI explanation for this conversion
This pre-generated explanation is schema-checked. Numeric results still come from the page formula and calculator.
Centimeter to Inch Conversion
This conversion factor allows you to convert a measurement from the metric system's centimeter (cm) to the imperial system's inch. The relationship is defined by how both units relate to the meter, the base unit of length in the International System of Units.
Definition
The centimeter is one hundredth of a meter (0.01 m). The inch is defined as exactly 0.0254 meters. The conversion factor between them is derived from this exact definition.
Principle
The conversion is based on expressing both units in terms of the same base unit (the meter) and then finding the ratio. This ratio is a fixed constant because both units have exact definitions in terms of the meter.
Assumptions
- The conversion uses the international yard and pound agreement definition where 1 inch is exactly 2.54 cm.
- The meter is the base unit for length in this derivation.
Cautions
- The conversion factor is an exact ratio, so the result's precision depends on the precision of your input measurement.
- Rounding should be done only after performing the calculation.
FAQ
How many inch are in 1 cm?
1 cm = 0.393700787402 inch.
How many inch are in 10 cm?
10 cm = 3.93700787402 inch.
How many inch are in 100 cm?
100 cm = 39.3700787402 inch.
What is the formula to convert cm to inch?
Use inch = cm × 0.393700787402.
How many cm are in 1 inch?
1 inch = 2.54 cm.
What should I check when converting cm to inch?
Use the conversion factor and round the result to the precision required by your calculation.