📏 Length & Distance Conversion Calculator

Convert between meters, feet, inches, miles, km, nautical miles and 60+ length units — metric, imperial, nautical, astronomical & historical

60+ Units MathJax Formulas Category Filter All Units at Once Free & Instant

🔄 Length & Distance Converter

1 m = 3.28084 ft
Formula: value × 3.28084

📊 All Units at Once

💡 How it works: All conversions use the meter (m) as the pivot. Formula: \( L_{\text{to}} = L_{\text{from}} \times \dfrac{f_{\text{from}}}{f_{\text{to}}} \) where \(f\) is each unit's exact meter equivalent per international definitions.

📖 How to Use the Length Converter

  1. 1
    Filter by Category (Optional)

    Click a category button — Metric SI, Imperial/US, Nautical, Astronomical, or Historical — to narrow the dropdown to relevant units. Click "All Units" to see every available unit.

  2. 2
    Enter Your Length Value

    Type any numerical value into the "Enter Value" field. Whole numbers, decimals (e.g., 5.75 feet for 5'9"), and very large values are fully supported. Results update live as you type.

  3. 3
    Select Source & Target Units

    Choose your input unit from the "From Unit" dropdown and the desired output unit from the "To Unit" dropdown. The conversion result and the exact multiplication factor appear instantly.

  4. 4
    Use Quick-Convert Buttons

    Click any preset button (m→ft, in→cm, mi→km, etc.) for the most common conversions. Both dropdowns update and the answer appears immediately without manual selection.

  5. 5
    View All Units & Copy

    The "All Units at Once" panel shows your length in every available unit simultaneously. Click "📋 Copy Result" to copy the primary conversion to your clipboard.

📐 Essential Length Conversion Factors

FromToMultiply ByMath Expression
1 inch (in)centimeter (cm)2.54 (exact)\( 1\,\text{in} = 2.54\,\text{cm} \)
1 foot (ft)meter (m)0.3048 (exact)\( 1\,\text{ft} = 0.3048\,\text{m} \)
1 yard (yd)meter (m)0.9144 (exact)\( 1\,\text{yd} = 0.9144\,\text{m} \)
1 mile (mi)kilometer (km)1.609344 (exact)\( 1\,\text{mi} = 1.609344\,\text{km} \)
1 meter (m)foot (ft)3.280840\( 1\,\text{m} = \dfrac{1}{0.3048}\,\text{ft} \approx 3.2808\,\text{ft} \)
1 kilometer (km)mile (mi)0.621371\( 1\,\text{km} = \dfrac{1}{1.609344}\,\text{mi} \approx 0.6214\,\text{mi} \)
1 nautical mile (nmi)meter (m)1,852 (exact)\( 1\,\text{nmi} = 1{,}852\,\text{m} \)
1 nautical mile (nmi)kilometer (km)1.852\( 1\,\text{nmi} = 1.852\,\text{km} \)
1 meter (m)inch (in)39.37008\( 1\,\text{m} = \dfrac{100}{2.54}\,\text{in} \approx 39.37\,\text{in} \)
1 mile (mi)foot (ft)5,280 (exact)\( 1\,\text{mi} = 5{,}280\,\text{ft} \)
1 mile (mi)yard (yd)1,760 (exact)\( 1\,\text{mi} = 1{,}760\,\text{yd} \)
1 light year (ly)kilometer (km)\(9.461 \times 10^{12}\)\( 1\,\text{ly} = c \times 365.25\,\text{days} \)

📏 Complete Guide to Length & Distance Units

Length is one of the seven fundamental quantities of the International System of Units (SI) and arguably the most universally relevant measurement in everyday life. We measure our height, the distance between cities, the width of a microchip, and the vastness of interstellar space — all with different but interrelated units of length. This guide covers every important length and distance unit system, explaining their origins, exact definitions, and how to convert between them with confidence.

The challenge of length conversion arises from the fact that the world uses two major parallel systems — the metric (SI) system and the imperial/US customary system — alongside specialist systems for navigation (nautical), astronomy, and historical contexts. Our Num8ers length conversion calculator handles over 60 units across all these systems, backed by internationally defined conversion factors and precision arithmetic.

📐 The Metric System — SI Length Units

The metric system's length unit — the meter (m) — was first defined in 1791 during the French Revolution as one ten-millionth of the distance from the North Pole to the Equator. Today it is defined with far greater precision: the distance light travels in vacuum in exactly \(\frac{1}{299{,}792{,}458}\) of a second. This ties the meter to a fundamental constant of nature.

Meter — BIPM Definition (1983, current)
\[ 1\,\text{m} = \frac{c}{299{,}792{,}458} \times 1\,\text{s} \quad \text{where } c = 299{,}792{,}458\,\text{m/s (exact)} \]
All metric prefixes are exact powers of 10 relative to the meter: \(1\,\text{km} = 10^3\,\text{m}\), \(1\,\text{cm} = 10^{-2}\,\text{m}\), \(1\,\text{mm} = 10^{-3}\,\text{m}\)
Metric Conversion — General Formula
\[ L_{\text{to}} = L_{\text{from}} \times 10^{(n_{\text{from}} - n_{\text{to}})} \]
\(n\) = SI prefix exponent   Example: km→cm: \(3-(-2) = 5\), so \(1\,\text{km} = 10^5\,\text{cm}\)

🇺🇸 Imperial & US Customary Units

The imperial system traces its roots to ancient Roman and Anglo-Saxon measurement traditions, standardised through legislation over centuries. The critical modern standard was the 1959 International Yard and Pound Agreement, which gave exact metric definitions to the imperial units still in use today. These definitions are exact by international treaty — making all imperial-metric conversions mathematically precise, not approximate.

1959 International Yard Agreement — Exact Definitions
\[ 1\,\text{in} = 2.54\,\text{cm} \quad \text{(exact)} \] \[ 1\,\text{ft} = 12\,\text{in} = 0.3048\,\text{m} \quad \text{(exact)} \] \[ 1\,\text{yd} = 3\,\text{ft} = 0.9144\,\text{m} \quad \text{(exact)} \] \[ 1\,\text{mi} = 5{,}280\,\text{ft} = 1{,}609.344\,\text{m} \quad \text{(exact)} \]
All four definitions established simultaneously in 1959 by US, UK, Australia, Canada, New Zealand & South Africa
📏

Inch (in) — \(2.54\,\text{cm}\) exactly

The inch is defined as exactly 2.54 cm since 1959. Originally the width of a thumb. 1 foot = 12 inches. Used for screen sizes, paper sizes, pipe diameters, and human height in the US/UK.

🦶

Foot (ft) — \(0.3048\,\text{m}\) exactly

Defined as exactly 0.3048 m. Originally the length of a human foot. 3 feet = 1 yard. Used for altitude (aviation uses feet for altitude worldwide), building heights, and US human height.

🏟️

Yard (yd) — \(0.9144\,\text{m}\) exactly

Defined as exactly 0.9144 m = 3 ft = 36 in. Originally the distance from King Henry I's nose to the end of his outstretched thumb. Used in American football and golf.

🛣️

Mile (mi) — \(1{,}609.344\,\text{m}\) exactly

Defined as exactly 1,609.344 m = 5,280 ft = 1,760 yd. Derives from the Roman "mille passuum" (1,000 paces). Used for road distances in the US, UK, and a handful of other countries.

📌 Example 1 — Converting Height: 5 ft 10 in to cm

Step 1 — Convert feet to inches: \( 5\,\text{ft} \times 12 = 60\,\text{in} \)

Step 2 — Total inches: \( 60 + 10 = 70\,\text{in} \)

Step 3 — Apply exact factor: \[ 70\,\text{in} \times 2.54\,\frac{\text{cm}}{\text{in}} = 177.8\,\text{cm} \]

Answer: 5 feet 10 inches = 177.8 cm (exactly, since 2.54 is exact).

📌 Example 2 — Miles to Kilometres (Road Trip)

Problem: A US road sign says 25.0 miles to the next city. How far in km?

\[ d_{\text{km}} = 25.0\,\text{mi} \times 1.609344\,\frac{\text{km}}{\text{mi}} = 40.2336\,\text{km} \]

Quick estimate tip: \( d_{\text{km}} \approx d_{\text{mi}} \times 1.6 \) — multiply by 8/5 for a fast mental calculation.

Answer: 25 miles = 40.23 km.

⚓ Other Imperial Length Units

UnitDefinitionIn MetersHistorical Use
Furlong (fur)660 ft = 1/8 mile\(201.168\,\text{m}\)Farming field length; still used in horse racing
Chain (ch)66 ft = 4 rods\(20.1168\,\text{m}\)Surveying; 10 chains = 1 furlong
Rod / Pole (rd)16.5 ft\(5.0292\,\text{m}\)Land surveying, property boundaries
Fathom (ftm)6 ft\(1.8288\,\text{m}\)Water depth; "by the mark twain" = 2 fathoms
Hand (hh)4 in\(0.1016\,\text{m}\)Horse height measurement (still active)
League (US)3 miles\(4{,}828.032\,\text{m}\)"Twenty thousand leagues under the sea" (Verne novel)
Mil0.001 in\(25.4 \times 10^{-6}\,\text{m}\)Plastic film thickness, wire gauges

⚓ Nautical Distance Units

The nautical mile is the international standard for maritime and aviation navigation. Its definition is geometrically elegant: it was originally defined as one minute of arc along a meridian of the Earth — making it directly linked to the Earth's coordinate system. Since Earth is not a perfect sphere, the definition was standardised to exactly 1,852 metres in 1929 (International Hydrographic Conference), and adopted universally.

Nautical Mile — International Definition
\[ 1\,\text{nmi} = 1{,}852\,\text{m} = 1.852\,\text{km} \approx 1.15078\,\text{mi (statute)} \]
Speed at sea: 1 knot = 1 nautical mile per hour  ·  \(1\,\text{kt} = 1.852\,\text{km/h} = 1.15078\,\text{mph}\)
Why nautical miles for navigation? Because 1 nautical mile corresponds exactly to 1 minute of latitude (1/60 of a degree), navigators can read chart coordinates directly as distances. Moving 1° of latitude north = moving exactly 60 nautical miles north — no conversion needed when reading coordinates.

🌌 Astronomical Distance Units

When distances become too vast for kilometres, astronomers switch to specialised astronomical units. The three main ones — the Astronomical Unit (AU), the light year (ly), and the parsec (pc) — cover scales from the solar system to the observable universe edge.

Astronomical Distance Unit Definitions
\[ 1\,\text{AU} = 149{,}597{,}870.7\,\text{km} \quad \text{(exact, IAU 2012)} \] \[ 1\,\text{ly} = c \times 365.25\,\text{days} = 9.461 \times 10^{12}\,\text{km} \] \[ 1\,\text{pc} = \frac{648{,}000}{\pi}\,\text{AU} \approx 3.086 \times 10^{13}\,\text{km} = 3.26156\,\text{ly} \]
\(c = 299{,}792.458\,\text{km/s}\) (exact)  ·  \(1\,\text{pc}\) = distance where 1 AU subtends 1 arcsecond of parallax
☀️

Astronomical Unit (AU)

Exactly 149,597,870.7 km. The Earth–Sun mean distance. Light takes 8 min 19 s to travel 1 AU. Pluto is ~39.5 AU from the Sun.

🌟

Light Year (ly)

\(9.461 \times 10^{12}\) km. Proxima Centauri (nearest star) = 4.24 ly. Milky Way = ~100,000 ly across. Andromeda galaxy = 2.537 million ly.

🔭

Parsec (pc)

\(3.086 \times 10^{13}\) km = 3.26156 ly. Preferred by professional astronomers. Proxima Centauri = 1.30 pc. Milky Way = ~30 kpc across.

Light Second / Minute / Hour

Light second (ls) = 299,792.458 km. Moon = 1.28 ls. Sun = 8.32 lmin. Saturn = ~1.3 light hours. Voyager 1 ≈ 22.6 light hours (2026).

🏛️ Historical & Traditional Length Units

Before the metric system, virtually every culture had its own system of length measurement based on body parts, agricultural tools, or astronomical observations. These units remain historically important and still appear in legal documents, heritage real estate records, and cultural contexts worldwide.

UnitCultureIn Meters (approx.)Notes
CubitAncient Egypt/Mesopotamia0.45–0.524 mForearm length; Great Pyramid built in cubits
DigitAncient Mediterranean0.01905 mWidth of a finger; 4 digits = 1 palm
PalmAncient Mediterranean0.0762 mWidth of 4 fingers; 4 palms = 1 foot
SpanAncient Mediterranean0.2286 mSpread of hand from pinky to thumb tip
Stadium (stade)Ancient Greece/Rome185 mLength of an Olympic running track
Roman mile (mille passuum)Ancient Rome1,480 m1,000 double paces; root of the modern "mile"
League (ancient)Various~2,000–4,800 m"Twenty thousand leagues under the sea" = ~72,000 km
VerstImperial Russia1,066.8 mUsed in Russian literature and geography pre-1924
ArshinRussia/Central Asia0.7112 mUsed in fabric measurement; 3 arshins = 1 sazhen
ShakuJapan0.303 mTraditional Japanese length; 10 shaku = 1 jo
Li (里)China500 mChinese unit; 1 Chinese li = 500 m exactly (modern standard)
VaraSpain / Latin America0.836 mStill used in property records in Texas and SW USA
EllEngland / Europe0.914–1.143 mCloth measurement; varied by region and century

🔁 The Universal Length Conversion Formula

Universal Conversion — Meter Pivot Method
\[ L_B = L_A \times \frac{f_A}{f_B} \]
\(L_A\) = value in unit A  ·  \(f_A\) = unit A's meter equivalent  ·  \(f_B\) = unit B's meter equivalent  ·  All values exact per international definitions
📌 Example 3 — Furlongs to Metres (Horse Racing)

Problem: A horse race is 6 furlongs. How many metres is that?

\( f_{\text{furlong}} = 201.168\,\text{m} \), \( f_{\text{m}} = 1\,\text{m} \)

\[ L_m = 6\,\text{fur} \times \frac{201.168}{1} = 1{,}207.008\,\text{m} \approx 1{,}207\,\text{m} \]

Answer: 6 furlongs = 1,207 metres (about 1.2 km).

📌 Example 4 — Light Years to AU (Astronomy)

Problem: Proxima Centauri is 4.243 light years away. Convert to AU.

\( f_{\text{ly}} = 9.461 \times 10^{15}\,\text{m} \), \( f_{\text{AU}} = 1.496 \times 10^{11}\,\text{m} \)

\[ L_{\text{AU}} = 4.243 \times \frac{9.461 \times 10^{15}}{1.496 \times 10^{11}} = 4.243 \times 63{,}241 \approx 268{,}303\,\text{AU} \]

Answer: Proxima Centauri is about 268,300 AU — over a quarter-million times the Earth–Sun distance.

N
Written & Reviewed by Num8ers Editorial Team — Mathematics & Science Education Specialists Last updated: April 2026 · Conversion factors verified against NIST SP 1038 (2006), IEEE/ASTM SI-10, the 1959 International Yard and Pound Agreement, and IAU 2012 resolution B2 (AU definition)

❓ Frequently Asked Questions About Length Conversion

How do I convert feet to meters?
Multiply by 0.3048 (exact). \( L_m = L_{ft} \times 0.3048 \). Example: \( 6\,\text{ft} \times 0.3048 = 1.8288\,\text{m} \). Reverse: \( L_{ft} = L_m \div 0.3048 = L_m \times 3.28084 \). The factor 0.3048 is exact per the 1959 International Yard Agreement.
How do I convert inches to centimeters?
Multiply by 2.54 (exact). \( L_{cm} = L_{in} \times 2.54 \). Example: 12 inches = \(12 \times 2.54 = 30.48\,\text{cm}\). This is the most precisely known length conversion factor — 1 inch = 2.54 cm is literally the definition. Reverse: \( L_{in} = L_{cm} \div 2.54 \).
How do I convert miles to kilometers?
Multiply by 1.609344 (exact). \( L_{km} = L_{mi} \times 1.609344 \). Quick mental estimate: miles × 1.6, or multiply by 8 and divide by 5. Example: 100 miles = 160.9344 km. Reverse: \( L_{mi} = L_{km} \times 0.621371 \).
How many feet are in a mile?
Exactly 5,280 feet = 1 mile (US statute mile). Also: 1,760 yards, 1,609.344 m, or 1.609344 km. This number comes from the mile being set at 8 furlongs × 660 feet/furlong = 5,280 feet during the reign of Queen Elizabeth I in 1593.
How many centimeters are in a foot?
Exactly 30.48 cm = 1 foot. This follows from: \(1\,\text{ft} = 12\,\text{in} = 12 \times 2.54\,\text{cm} = 30.48\,\text{cm}\). Both factors (12 in/ft and 2.54 cm/in) are exact, so 30.48 cm/ft is also exact.
What is a nautical mile and why is it 1,852 meters?
A nautical mile (nmi) = 1,852 m exactly. It was defined as 1 minute of arc (1/60 of a degree) along a meridian of Earth. Since Earth's circumference ≈ 40,007 km = 360° × 60'/degree × 1 nmi: \(40{,}007{,}000\,\text{m} \div 21{,}600 \approx 1{,}852\,\text{m}\). Standardised in 1929 at the international hydrographic conference.
How do I convert meters to feet and inches?
Step 1: Total inches = meters ÷ 0.0254. Step 2: Feet = floor(total inches ÷ 12). Step 3: Remaining inches = total inches mod 12. Example: 1.80 m → total in = 1.80/0.0254 = 70.87 in → 5 ft 10.87 in ≈ 5 ft 11 in. \[ \text{feet} = \left\lfloor \frac{L_m}{0.3048} \right\rfloor,\quad \text{in} = \left( \frac{L_m}{0.0254} \right) \bmod 12 \]
How do I convert kilometers to miles?
Multiply by 0.621371. \( L_{mi} = L_{km} \times 0.621371 \). Quick mental trick: divide km by 1.6 (or multiply by 5/8). Example: 100 km = 62.137 miles. Speed limit: 100 km/h ≈ 62 mph; 120 km/h ≈ 75 mph.
What is the difference between a statute mile and a nautical mile?
Statute (land) mile = 5,280 ft = 1,609.344 m. Nautical mile = 6,076.115 ft = 1,852 m. The nautical mile is approximately 14.56% longer than the statute mile: \(1\,\text{nmi} \approx 1.15078\,\text{mi}\). Aviation and maritime navigation use nautical miles globally; road distances use statute miles in the US and UK.
What is a light year and is it a unit of distance?
Yes — despite "year" in the name, a light year is a unit of distance, not time. \( 1\,\text{ly} = c \times 365.25\,\text{days} = 9.4607 \times 10^{12}\,\text{km} \approx 9.46\,\text{trillion km}\). The nearest star (Proxima Centauri) is 4.24 ly away. It is NOT the distance light travels in one year of travel time on a spacecraft — that would be far less due to relativity.
What is an Angstrom (Å)?
1 Å = \(10^{-10}\) m = 0.1 nm = 100 pm. The Angstrom (named after Swedish physicist Anders Jonas Ångström) is not an SI unit but is widely used in atomic physics, crystallography, and chemistry. Typical atomic bond lengths range 1–3 Å; visible light wavelengths range 3,800–7,000 Å.
How do I convert between feet and yards?
Exactly 3 feet = 1 yard. \( L_{yd} = L_{ft} \div 3 \) and \( L_{ft} = L_{yd} \times 3 \). Example: 15 ft = 5 yd. A football field (American) is 100 yards = 300 feet. A swimming pool (50 m) = 54.68 yards.
What is a furlong?
1 furlong = 660 feet = 201.168 m = 1/8 mile. Historically the length of a furrow in one acre of ploughed land ("furrow-long"). Eight furlongs = 1 mile. Still used in horse racing internationally: the UK Epsom Derby is 12 furlongs (≈ 2,414 m).
How accurate is the Num8ers Length Converter?
The calculator uses internationally defined exact conversion factors for metric and imperial units (per 1959 Agreement & BIPM SI Brochure 9th ed.). JavaScript IEEE 754 double-precision arithmetic provides ~15–16 significant digits. The "All Units at Once" panel gives simultaneous results across all 60+ units.

🔗 Related Calculators & Tools on Num8ers

Found this useful? Bookmark and share with students, teachers, architects, pilots, or anyone who works across measurement systems. For new units or feedback, visit Num8ers.com.