Convert Centimeters (cm) to Inches (in)
1 centimeter equals 0.393701 inches.
Centimeter to Inch Converter
What Is a Centimeter?
The centimeter (cm) is an SI unit of length equal to exactly one hundredth of a meter (0.01 m). It is the most commonly used metric unit for everyday measurements — body height, clothing sizes, screen dimensions, and product packaging.
Key equivalences: 1 cm = 10 mm = 0.01 m = 0.3937 inches.
What Is an Inch?
The inch (in or ") is a unit of length in the US customary and British imperial systems, defined as exactly 2.54 centimeters. One foot contains 12 inches, and one yard contains 36 inches.
Key equivalences: 1 in = 2.54 cm exactly = 25.4 mm = 1/12 ft.
Centimeters to Inches Formula
The conversion factor is exact by international definition:
inches = centimeters ÷ 2.54 exact
Or equivalently: inches = centimeters × 0.393701
The reverse: centimeters = inches × 2.54
Because 2.54 is an exact definition (not a measurement), there is zero rounding error at the conversion level.
Worked Example
Convert 30 cm (a standard metric ruler) to inches:
- Divide: 30 ÷ 2.54 = 11.811 inches
A 30 cm ruler is about 11.8 inches — slightly shorter than a US 12-inch ruler (30.48 cm). This difference explains why metric and imperial rulers are not interchangeable.
Quick Estimation
For mental math, use the anchor 10 cm ≈ 4 inches and scale proportionally. Examples: 25 cm ≈ 10", 50 cm ≈ 20", 75 cm ≈ 30". For better accuracy, divide by 2.5 — this overshoots by only 1.6%.
Centimeters to Inches Reference
| Centimeters | Inches | Context |
|---|---|---|
| 1 cm | 0.394" | Fingernail width |
| 2.54 cm | 1" (exact) | Definition |
| 5 cm | 1.969" | USB cable width |
| 10 cm | 3.937" | Smartphone width |
| 15 cm | 5.906" | Smartphone length |
| 30 cm | 11.811" | Metric ruler |
| 50 cm | 19.685" | Carry-on luggage width |
| 100 cm | 39.370" | 1 meter |
| 139.7 cm | 55" (exact) | 55" TV screen diagonal |
| 165.1 cm | 65" (exact) | 65" TV screen diagonal |
Which Is Bigger: Centimeter or Inch?
An inch is 2.54 times larger than a centimeter — roughly the width of a thumb versus a pinky fingernail. Because inches are larger, centimeter values are always bigger numbers: a 65-inch TV is 165.1 cm, and a 32" waist is 81.3 cm.
Why Is the Factor Exactly 2.54?
In 1959, six countries — the United States, United Kingdom, Canada, Australia, New Zealand, and South Africa — jointly defined the international inch as exactly 25.4 millimeters. Before this agreement, each country had slightly different definitions of the inch, causing discrepancies in trade and engineering. The 1959 standard made the cm-to-inch conversion exact by definition, not by measurement — eliminating rounding errors entirely.
When You Need This Conversion
- Screen sizes: TVs, monitors, and laptops are marketed in inches globally (55", 65", 27"), but metric countries need centimeters for room planning. A 65" TV is 165.1 cm diagonal — knowing this determines whether it fits on your wall.
- Clothing and body measurements: European and Asian sizing uses centimeters (waist 76 cm, inseam 81 cm), while US sizing uses inches (30" waist, 32" inseam). Converting correctly avoids costly returns when shopping internationally.
- Manufacturing and engineering: Metric blueprints specify dimensions in cm or mm; US machine shops work in inches. A part specified at 6.35 cm must be machined to exactly 2.5" — precision conversion prevents defects.
- Medical records: International systems record measurements in cm (wound size, tumor diameter, growth charts), while US clinical practice uses inches. A 2 cm lesion = 0.787 inches — accuracy matters for treatment decisions.
Frequently Asked Questions
How many inches are in 10 cm?
10 cm = 3.937 inches (approximately 4 inches). This is the most useful reference point: 10 cm ≈ 4". From this anchor, scale any value — 25 cm ≈ 10", 50 cm ≈ 20", 100 cm ≈ 40".
What is 30 cm in inches?
30 cm = 11.811 inches. This is the length of a standard metric ruler — slightly shorter than a 12-inch US ruler (30.48 cm). The 0.48 cm difference is why the two rulers do not align exactly at the ends.
How do I quickly estimate cm to inches?
Use the anchor 10 cm ≈ 4 inches and scale. For example, 35 cm = 3.5 × 4" ≈ 14" (exact: 13.78"). Alternatively, divide by 2.5 for a fast estimate within 1.6% accuracy.
What TV size is 165 cm in inches?
165 cm ≈ 65 inches. TV screen sizes are measured diagonally in inches worldwide. Common sizes: 32" = 81.3 cm, 43" = 109.2 cm, 55" = 139.7 cm, 65" = 165.1 cm, 75" = 190.5 cm.
Is the cm-to-inch conversion exact or approximate?
Exact. Since 1959, 1 inch = 2.54 cm by international agreement among six countries. This is a definition, not a measurement — so every cm-to-inch conversion is mathematically precise with no rounding involved.
Fractional Inches to Centimeter Chart
Common fractional inch values and their equivalents in cm. Useful for machining, woodworking, drill bits, and precision measurements.
Fractions of an inch (1/64″ to 1″)
| Fraction (in) | Decimal (in) | cm |
|---|---|---|
| 1/64″ | 0.0156 | 0.0397 |
| 1/32″ | 0.0313 | 0.0794 |
| 3/64″ | 0.0469 | 0.1191 |
| 1/16″ | 0.0625 | 0.1588 |
| 5/64″ | 0.0781 | 0.1984 |
| 3/32″ | 0.0938 | 0.2381 |
| 7/64″ | 0.1094 | 0.2778 |
| 1/8″ | 0.1250 | 0.3175 |
| 9/64″ | 0.1406 | 0.3572 |
| 5/32″ | 0.1563 | 0.3969 |
| 11/64″ | 0.1719 | 0.4366 |
| 3/16″ | 0.1875 | 0.4763 |
| 13/64″ | 0.2031 | 0.5159 |
| 7/32″ | 0.2188 | 0.5556 |
| 15/64″ | 0.2344 | 0.5953 |
| 1/4″ | 0.2500 | 0.6350 |
| 17/64″ | 0.2656 | 0.6747 |
| 9/32″ | 0.2813 | 0.7144 |
| 19/64″ | 0.2969 | 0.7541 |
| 5/16″ | 0.3125 | 0.7938 |
| 21/64″ | 0.3281 | 0.8334 |
| 11/32″ | 0.3438 | 0.8731 |
| 23/64″ | 0.3594 | 0.9128 |
| 3/8″ | 0.3750 | 0.9525 |
| 25/64″ | 0.3906 | 0.9922 |
| 13/32″ | 0.4063 | 1.0319 |
| 27/64″ | 0.4219 | 1.0716 |
| 7/16″ | 0.4375 | 1.1113 |
| 29/64″ | 0.4531 | 1.1509 |
| 15/32″ | 0.4688 | 1.1906 |
| 31/64″ | 0.4844 | 1.2303 |
| 1/2″ | 0.5000 | 1.2700 |
| 33/64″ | 0.5156 | 1.3097 |
| 17/32″ | 0.5313 | 1.3494 |
| 35/64″ | 0.5469 | 1.3891 |
| 9/16″ | 0.5625 | 1.4288 |
| 37/64″ | 0.5781 | 1.4684 |
| 19/32″ | 0.5938 | 1.5081 |
| 39/64″ | 0.6094 | 1.5478 |
| 5/8″ | 0.6250 | 1.5875 |
| 41/64″ | 0.6406 | 1.6272 |
| 21/32″ | 0.6563 | 1.6669 |
| 43/64″ | 0.6719 | 1.7066 |
| 11/16″ | 0.6875 | 1.7463 |
| 45/64″ | 0.7031 | 1.7859 |
| 23/32″ | 0.7188 | 1.8256 |
| 47/64″ | 0.7344 | 1.8653 |
| 3/4″ | 0.7500 | 1.9050 |
| 49/64″ | 0.7656 | 1.9447 |
| 25/32″ | 0.7813 | 1.9844 |
| 51/64″ | 0.7969 | 2.0241 |
| 13/16″ | 0.8125 | 2.0638 |
| 53/64″ | 0.8281 | 2.1034 |
| 27/32″ | 0.8438 | 2.1431 |
| 55/64″ | 0.8594 | 2.1828 |
| 7/8″ | 0.8750 | 2.2225 |
| 57/64″ | 0.8906 | 2.2622 |
| 29/32″ | 0.9063 | 2.3019 |
| 59/64″ | 0.9219 | 2.3416 |
| 15/16″ | 0.9375 | 2.3813 |
| 61/64″ | 0.9531 | 2.4209 |
| 31/32″ | 0.9688 | 2.4606 |
| 63/64″ | 0.9844 | 2.5003 |
| 1″ | 1.0000 | 2.5400 |
Whole inches (2″ to 12″)
| Inches | cm |
|---|---|
| 2″ | 5.0800 |
| 3″ | 7.6200 |
| 4″ | 10.160 |
| 5″ | 12.700 |
| 6″ | 15.240 |
| 7″ | 17.780 |
| 8″ | 20.320 |
| 9″ | 22.860 |
| 10″ | 25.400 |
| 11″ | 27.940 |
| 12″ | 30.480 |
Bold rows indicate common fractions (1/8, 1/4, 3/8, 1/2, etc.). The conversion factor 1 inch = 25.4 mm is exact by international definition.
Common Centimeter to Inch Conversions
| Centimeter | Inch | Actions |
|---|---|---|
| 1 centimeter | 0.393701 inches | |
| 2 centimeters | 0.787402 inches | |
| 5 centimeters | 1.9685 inches | |
| 10 centimeters | 3.93701 inches | |
| 15 centimeters | 5.90551 inches |
| Centimeter | Inch | Actions |
|---|---|---|
| 20 centimeters | 7.87402 inches | |
| 30 centimeters | 11.811 inches | |
| 50 centimeters | 19.685 inches | |
| 100 centimeters | 39.3701 inches |
Centimeters to inches Conversion Table
Reference table with common centimeters to inches conversions. All values calculated with high precision.
Centimeters to Inches Table
0.001 to 5
Centimeters to Inches Table
10 to 1000000
Inches to Centimeters Table
1 to 100000
Looking for the reverse? Convert Inch to Centimeter
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