CM to Inches and Inches to CM
ConversionsChoose a direction and enter the length. The converter uses the exact definition, 1 inch = 2.54 cm. For inches to cm it also shows the width and height of a 16:9 screen with that diagonal.
Step by step
30 / 2.54 = 11.811 in
- One inch is exactly 2.54 cm, so divide by 2.54: 30 / 2.54 = 11.811 in.
- Check: 11.811 × 2.54 gives back about 30 cm.
Once every entry is valid, you’ll see each step of the calculation here.
Formula
- inches
- length in inches (in or ″)
- cm, mm
- length in centimeters or millimeters
- d
- screen diagonal
- √337
- the diagonal of a 16 by 9 rectangle (16² + 9² = 337)
How it works
Since 1959 the inch has been defined as exactly 2.54 centimeters, the same in the United States, the UK and everywhere else. To convert inches to cm, multiply by 2.54: 12 inches are 30.48 cm. To convert cm to inches, divide by 2.54: 30 cm are 11.811 inches. One millimeter is a tenth of a centimeter, so for mm to inches you divide by 25.4.
Rulers and tape measures in the US show inches in fractions, usually down to 1/16 inch. To read a decimal result on a ruler, multiply the decimal part by 16 and round: 11.811 inches is 11 inches plus 0.811 × 16 = 12.98, so about 11 13/16 inches. One sixteenth of an inch is 1.5875 mm, which is the accuracy of that reading.
TVs and monitors are sold by their diagonal in inches. For inches to cm the converter also gives the picture width and height of a 16:9 screen, the shape of nearly all TVs, using the Pythagorean theorem: width = diagonal × 16 / √337 and height = diagonal × 9 / √337. A 55 inch TV has a picture about 121.8 cm wide and 68.5 cm tall (about 48 by 27 inches); the frame adds a little. For heights in feet and inches, use the feet to cm converter.
The formula
The factor 2.54 is exact, so results are exact up to the shown decimals. Dividing by 2.54 is the same as multiplying by 0.393700787..., which is why 1 cm is about 0.3937 inch.
The screen formula assumes square pixels and a 16:9 picture. Older 4:3 screens and ultrawide 21:9 monitors have different shapes, so their width and height differ for the same diagonal.
Example
How big is a 55 in TV in centimeters?
- Diagonal in centimeters: 55 × 2.54 = 139.7 cm.
- Picture width at 16:9: 139.7 × 16 / √337 = 121.8 cm.
- Picture height at 16:9: 139.7 × 9 / √337 = 68.5 cm. The TV with its frame is a few millimeters to a few centimeters larger.
55 in is 139.7 cm, or 1,397 mm.
Load this example into the calculatorInches to cm chart: lengths and TV screen sizes
| Length in inches | In centimeters | Screen width at 16:9 | Screen height at 16:9 |
|---|---|---|---|
| 1 in | 2.54 cm | 2.2 cm | 1.2 cm |
| 2 in | 5.08 cm | 4.4 cm | 2.5 cm |
| 3 in | 7.62 cm | 6.6 cm | 3.7 cm |
| 4 in | 10.16 cm | 8.9 cm | 5 cm |
| 5 in | 12.7 cm | 11.1 cm | 6.2 cm |
| 6 in | 15.24 cm | 13.3 cm | 7.5 cm |
| 7 in | 17.78 cm | 15.5 cm | 8.7 cm |
| 8 in | 20.32 cm | 17.7 cm | 10 cm |
| 9 in | 22.86 cm | 19.9 cm | 11.2 cm |
| 10 in | 25.4 cm | 22.1 cm | 12.5 cm |
| 11 in | 27.94 cm | 24.4 cm | 13.7 cm |
| 12 in | 30.48 cm | 26.6 cm | 14.9 cm |
| 13.3 in | 33.782 cm | 29.4 cm | 16.6 cm |
| 14 in | 35.56 cm | 31 cm | 17.4 cm |
| 15.6 in | 39.624 cm | 34.5 cm | 19.4 cm |
| 17.3 in | 43.942 cm | 38.3 cm | 21.5 cm |
| 19 in | 48.26 cm | 42.1 cm | 23.7 cm |
| 21.5 in | 54.61 cm | 47.6 cm | 26.8 cm |
| 22 in | 55.88 cm | 48.7 cm | 27.4 cm |
| 24 in | 60.96 cm | 53.1 cm | 29.9 cm |
| 27 in | 68.58 cm | 59.8 cm | 33.6 cm |
| 32 in | 81.28 cm | 70.8 cm | 39.8 cm |
| 34 in | 86.36 cm | 75.3 cm | 42.3 cm |
| 40 in | 101.6 cm | 88.6 cm | 49.8 cm |
| 42 in | 106.68 cm | 93 cm | 52.3 cm |
| 43 in | 109.22 cm | 95.2 cm | 53.5 cm |
| 48 in | 121.92 cm | 106.3 cm | 59.8 cm |
| 50 in | 127 cm | 110.7 cm | 62.3 cm |
| 55 in | 139.7 cm | 121.8 cm | 68.5 cm |
| 58 in | 147.32 cm | 128.4 cm | 72.2 cm |
| 60 in | 152.4 cm | 132.8 cm | 74.7 cm |
| 65 in | 165.1 cm | 143.9 cm | 80.9 cm |
| 70 in | 177.8 cm | 155 cm | 87.2 cm |
| 75 in | 190.5 cm | 166 cm | 93.4 cm |
| 77 in | 195.58 cm | 170.5 cm | 95.9 cm |
| 83 in | 210.82 cm | 183.7 cm | 103.4 cm |
| 85 in | 215.9 cm | 188.2 cm | 105.8 cm |
| 98 in | 248.92 cm | 217 cm | 122 cm |
| 100 in | 254 cm | 221.4 cm | 124.5 cm |
Frequently asked questions
How many inches is 30 cm?
30 cm is 11.81 inches (30 / 2.54), just under a foot. A foot is 12 inches, which is 30.48 cm. Other common values: 10 cm = 3.94 inches, 50 cm = 19.69 inches, 100 cm = 39.37 inches.
How many centimeters are in an inch?
Exactly 2.54 centimeters, or 25.4 millimeters. This has been the international definition since 1959. So 2 inches are 5.08 cm, 6 inches 15.24 cm and 10 inches 25.4 cm.
How do I convert mm to inches?
Divide the millimeters by 25.4. 10 mm are 0.394 inch, 12 mm are 0.472 inch and 25 mm are 0.984 inch, just under one inch. Bolt and drill sizes are a common reason to need this.
How do I write a decimal inch as a fraction?
Multiply the decimal part by 16 (or 8, or 32) and round to a whole number. 0.375 inch × 16 = 6, so 6/16 = 3/8 inch. 2.7 inches: 0.7 × 16 = 11.2, so about 2 11/16 inches.
How wide is a 65 inch TV?
A 65 inch 16:9 TV has a picture about 143.9 cm (56.7 inches) wide and 80.9 cm (31.9 inches) tall. The diagonal is 165.1 cm. Add a few centimeters for the frame when you plan a wall or a cabinet.
- SI Units: Length (National Institute of Standards and Technology)
- Approximate Conversions from U.S. Customary Measures to Metric (National Institute of Standards and Technology)
- Inch (Wikipedia)