Convert ft to mi feet ↔ miles Free Online Secure
Type a value in feet and read it in miles at once. The factor is exact by definition, the arithmetic happens in your browser, and nothing is sent anywhere.
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Common values — Convert ft to mi (feet ↔ miles)
| ft | mi |
|---|---|
| 1 | 0.000189393939394 |
| 2 | 0.000378787878788 |
| 3 | 0.000568181818182 |
| 5 | 0.00094696969697 |
| 10 | 0.00189393939394 |
| 20 | 0.00378787878788 |
| 50 | 0.0094696969697 |
| 100 | 0.0189393939394 |
Where these units come from
The metre was first defined in 1793 as a ten-millionth of the distance from the equator to the North Pole — a definition nobody could check without surveying a quarter of the planet. It has been redefined four times since, each time to something steadier: a platinum bar, then a prototype kept in Paris, then a wavelength of krypton light, and since 1983 the distance light travels in vacuum in 1/299,792,458 of a second. The inch stopped being a separate thing in 1959, when six countries agreed to define it as exactly 25.4 mm. That agreement is why every conversion on this page between a metric and an imperial length is exact rather than measured: both sides now descend from the same definition.
Where you meet them
Millimetres are the working unit of engineering drawings and of anything made in a workshop; centimetres belong to tailoring, furniture and school rulers; metres to rooms, fabric and running tracks. Feet and inches survive in aviation altitudes worldwide, in American and British construction, and in the diagonal of every screen you have ever bought. Nautical miles are not a quaint survival — one is a minute of latitude, which is why ships and aircraft still navigate in them.
Questions people ask
Why are aircraft altitudes given in feet?
Because international aviation standardised on feet decades ago and has never had a reason to change. Flight levels are altitudes in hundreds of feet, so level 350 is 35,000 feet. A foot is exactly 0.3048 metres, so converting is exact; a few countries, such as China and Russia, have used metres instead, which is why pilots must know both.
Is a mile the same everywhere?
The statute mile on this page is 1609.344 m exactly, which follows from the 1959 inch. The nautical mile is a different unit altogether, 1852 m exactly, defined as one minute of arc along a meridian. The two are not variants of one another and should never be swapped.
Is the answer exact?
Where both units are defined in terms of one another by whole numbers, yes — the page says so above the figure, and the only rounding is in how many digits are shown. Where the ratio has no finite decimal, the page shows twelve significant digits and says the relation is approximate rather than pretending otherwise.
Does anything I type leave my device?
No. The arithmetic runs in your browser; nothing is uploaded and there is no server to upload it to. Load the page once and it keeps working with the network switched off.
From a bridge span to a road trip: when you need to convert ft to mi
Feet and miles live at opposite ends of the American habit of measuring. A hiker counts a climb in feet and a drive in miles; a sign says a lake is 2,640 feet ahead, and the satnav says it is half a mile. A pilot hears an altitude in thousands of feet and a distance in miles. Whenever a figure in one unit has to be set beside a figure in the other, you must convert ft to mi, and this page does it as you type. Enter a number of feet and read the miles, to as many decimals as the result deserves.
The link between the two is a single exact number, 5,280, so the arithmetic is a division and nothing more. What makes it tricky is the size of the numbers: a few thousand feet shrink to a fraction of a mile, and a decimal such as 0.0189 can look wrong even when it is right. Below you will find the rule, examples, the background of both units, a comparison, a list of places where the conversion helps and the errors to avoid.
How to convert ft to mi: divide by 5,280
The rule
A mile is exactly 5,280 feet. To convert ft to mi, divide the number of feet by 5,280. Half a mile is 2,640 ft, a quarter is 1,320 ft and a tenth is 528 ft. So 1,000 ft is 0.1894 mi, 10,000 ft is 1.894 mi and 100 ft is 0.0189 mi. To go the other way, multiply the miles by 5,280.
Examples
A bridge span of 4,200 ft is 0.795 mi. A mountain 14,000 ft high is 2.65 mi tall. A runway of 8,000 ft is 1.515 mi. A trail with 500 ft of gain is 0.0947 mi, which is why people quote climbs in feet and distances in miles: the numbers stay readable.
Estimating in your head
For a mental convert ft to mi, divide by 5,000, which is easy, then take away about five and a half per cent of the answer because 5,280 is that much bigger. For 10,000 ft: 10,000 divided by 5,000 is 2, minus 0.11 gives 1.89, matching the exact 1.894. Another route is to count in quarter miles: each 1,320 ft is a quarter.
How many decimals
A “convert ft to mi” calculation result like 0.0189394 is exact but pointless in practice. Two or three significant digits are plenty for most uses: 0.019 mi for 100 ft.
The foot
A small unit
The foot is a unit of length equal to exactly 0.3048 metres, divided into twelve inches. It is the everyday unit for height, building materials and room sizes in the United States, and in aviation it is the world standard for altitude.
Why it appears with miles
In the US customary system, the foot and the mile form a pair: short distances in feet, long ones in miles. The yard, three feet, sits between them but is mostly used for sports fields and fabric.
The mile
A thousand paces
The word mile comes from the Latin mille passus, a thousand paces of a Roman legionary, each pace being two steps. The English statute mile was fixed at 5,280 feet by an Act of Parliament in 1593, in the reign of Elizabeth I, so that it would divide evenly into furlongs of 660 feet and rods of 16.5 feet.
Today
The mile is used on road signs in the United States and the United Kingdom, in Liberia and Myanmar, and in the speed limits and fuel economy figures of those countries. Its exact value, 1,609.344 metres, has been fixed since 1959.
Foot and mile compared
A mile is 5,280 times longer than a foot, a ratio of more than three and a half orders of magnitude. A foot is the length of your shoe; a mile is a brisk twenty-minute walk. Because of the scale difference, converting between them is mostly useful when a source mixes the two, such as a hike described by distance in miles and elevation in feet.
If you write to a general audience, use feet for anything you can see from where you stand and miles for what you must travel to reach. For numbers in between, such as 3,000 ft, either unit may seem natural, so give both: 3,000 ft (0.57 mi).
Where the conversion helps
Lightning and thunder
Sound travels about 1,125 ft per second in air. Count the seconds between a flash and the thunder: five seconds is 5,625 ft, or 1.07 mi, which is the old rule of five seconds to a mile. The calculation is a quick convert ft to mi that works on a porch.
How far is the horizon?
A person whose eyes are 6 ft above the ground sees a horizon about 3 mi away. At 100 ft, on the top of a lighthouse, it is 12 mi; at 1,000 ft in a skyscraper, about 39 mi. The figure comes from 1.22 times the square root of the height in feet. The result is in miles because that is how you will use it.
Bridges and tunnels
The Golden Gate Bridge has a main span of 4,200 ft, 0.8 mi, and a total length of 8,981 ft, 1.7 mi. A tunnel of 15,000 ft is 2.84 mi. Engineers quote feet in the drawings and miles in the press releases.
Ski lifts and slopes
A ski resort with a vertical drop of 3,000 ft has 0.57 mi of descent in height, but the trail runs for several miles. Mixed use of feet and miles for height and length is the norm on trail maps.
Skyscrapers and towers
Tall in miles
Burj Khalifa is 2,717 ft tall, or 0.51 mi: half a mile of building. The Empire State Building is 1,250 ft to the roof, 0.24 mi. Building tall enough to reach one mile, 5,280 ft, is still a dream; a tower of that height would be nearly twice the Burj.
Views from the top
From the observation deck of a tower at 1,000 ft, on a clear day, you may see 39 miles. That is a small town at the edge of the horizon. The calculation uses feet for height and returns miles, a neat example of why the pair is so useful.
Mistakes with large and small numbers
Wrong power of ten
People often divide by 528 or 52,800 by accident. Check with a known value: 5,280 ft must give 1 mi, and 2,640 ft must give 0.5.
Mixing nautical and statute
A nautical mile is 6,076 ft, not 5,280. Using the wrong mile produces an error of 15 per cent. Make sure which one your source means.
Teaching the conversion
Walk it
A class can mark out 1,320 ft in the school yard, a quarter of a mile, and time the walk. Four such laps make a mile. The abstract number 5,280 becomes a physical distance.
Use the school track
A 400 m track is 1,312.3 ft. Students compute that four laps are 5,249 ft, slightly under a mile, and discuss the difference.
Planning a road trip
Elevation and fuel
A drive of 120 mi that climbs 6,000 ft adds a gradient of only 50 ft per mile, 0.95 per cent, but long climbs reduce fuel economy. Combining mile and foot values in one calculation requires care.
Signs on the road
Warning signs say "Steep grade, 6 per cent, next 3 miles". That is a climb of 950 ft: 0.06 times 3 times 5,280. A driver who can convert ft to mi in the head knows how long the strain on the engine will last.
Quick reference table
Values worth memorising
528 ft is 0.1 mi; 660 ft is 0.125; 1,000 ft is about 0.19; 1,320 ft is 0.25; 2,640 ft is 0.5; 3,960 ft is 0.75; 5,280 ft is 1. Add 10,560 ft for 2 mi and 26,400 ft for 5 mi. With these anchors, you can place any other figure by eye.
Printing a card
Print the list and keep it in the glove box or the hiking pack. It saves reaching for a phone when the battery is low.
Reading real estate and land listings
Road frontage
Rural land for sale is often described by road frontage in feet and total distance to town in miles. A parcel with 1,320 ft of frontage on a county road borders a quarter of a mile of asphalt. If you want to know how much fencing you need along that side, the figure in feet is the one you use; to tell a neighbour how long it is, the “convert ft to mi” calculation gives you a quarter of a mile.
Setbacks and distances
Zoning rules give setbacks in feet and distances to schools or highways in miles. A rule that a facility must stay 1,500 ft from a school is 0.28 mi, a number that is easy to check on a map with a ruler tool.
A worked day on the trail
Putting the units together
Say your guide reads: 9.5 mi, 3,400 ft gain, summit at 11,200 ft. The average climb is 3,400 divided by 9.5, about 358 ft per mile; if half the route is flat, the real slope on the climbing half is nearly double. The summit is 2.12 mi above sea level, which you can verify with a “convert ft to mi” calculation on 11,200. Thin air up there means you should expect to move slower than your usual pace.
Planning time
A common rule gives one hour for every 2 miles plus one hour for every 1,000 ft of gain. For this hike that is 4.75 plus 3.4, about 8 hours of walking. The rule only works if both inputs are in the same system, so convert before you add.
Roller coasters and rides
Record heights
One record-setting roller coaster rose to 456 ft, which is 0.086 mi, on a track 3,118 ft long, 0.59 mi, so the ride lasted under a minute. Amusement parks quote the height in feet and the length in feet, but visitors think in miles when they ask how far they travel.
Speed and distance
A coaster at 128 mph covers 188 ft per second. To turn the speed into feet, multiply miles per hour by 1.4667. That is a convenient factor derived from 5,280 divided by 3,600.
Ocean depth
Deep water
The deepest point of the ocean, the Challenger Deep, is about 35,876 ft down, which is 6.8 mi. That is more than Mount Everest's height of 29,032 ft, 5.5 mi. Oceanographers use metres and fathoms, but American news reports often use feet and miles to make it comprehensible.
Fathoms
A fathom is 6 ft, and a mile is 880 fathoms. A depth of 2,640 ft is 440 fathoms, half a mile. Sailors still use fathoms on older charts.
Golf and sports fields
Distances on the course
A golf hole of 5,280 ft would be a mile long, which no course has. A long par five measures about 600 yards, 1,800 ft, 0.34 mi. A full eighteen holes cover 6,500 to 7,500 yards, which is 3.7 to 4.3 mi.
Track and field
A quarter-mile track lap is 1,320 ft. Older American tracks were built to that length. Today most use 400 m, 1,312 ft, so four laps are very slightly less than a mile.
Hiking and elevation gain
Reading trail descriptions
A trail is described as 6 mi round trip with 2,000 ft of gain. The gain per mile is 2,000 divided by 6, about 333 ft per mile, a moderate grade of 6.3 per cent. The slope uses the conversion because 333 ft over 5,280 ft is 0.063.
Grade explained
Grade is the rise divided by the run, both in the same unit. Convert the miles to feet before dividing; otherwise the number will be wrong by a factor of 5,280.
Surveying and old measures
Chains, rods and furlongs
A surveyor's chain is 66 ft. Eighty chains make a mile. A furlong is 660 ft, one eighth of a mile. A rod, pole or perch is 16.5 ft, so a mile has 320 rods. These units survive in property deeds and in horse racing, where a race of eight furlongs is exactly one mile.
Why 5,280?
The number came from reconciling the old Roman mile with the English furlong. Eight furlongs of 660 ft make 5,280 ft. Each of those numbers is divisible by many smaller ones, which suited surveyors who worked without calculators.
Cables, pipes and utilities
Long runs
A power line spans 1,000 ft between towers, 0.19 mi. A pipeline of 26,400 ft is 5 mi. Utilities describe segments in feet and entire routes in miles.
Cost estimates
If trenching costs 40 dollars per foot, a mile costs 211,200 dollars. Converting the unit price to a mile makes quotes comparable.
Maps and scale
Scale bars
American maps often show a scale bar in feet for local plans and miles for regional maps. On a map where one inch is 1,000 ft, a distance of 5.28 inches is a mile. Switching scales mid-project is where errors enter.
GPS and units
Phones do a “convert ft to mi” calculation by themselves: they show distance in feet below about 0.1 mi and in miles beyond. When the display flips from 500 ft to 0.1 mi, no one has moved; only the unit has changed.
Spreadsheet recipe
Formula
To convert ft to mi for a whole column, place feet in column A and enter =A2/5280 in column B. Format the result with three or four decimals. For a reverse check, multiply back by 5280 and compare.
Avoiding formatting traps
Some spreadsheets show 0.0189 as 0, depending on the number format. Increase the decimals, or switch to scientific notation if the numbers are tiny.
More values for convert ft to mi
A longer list of conversions
If the value you need is not in the first list, these further conversions may be close enough to read off directly:
- 0.1 ft = 0.0000189394 mi
- 0.5 ft = 0.000094697 mi
- 3 ft = 0.000568182 mi
- 4 ft = 0.000757576 mi
- 7 ft = 0.00132576 mi
- 15 ft = 0.00284091 mi
- 20 ft = 0.00378788 mi
- 75 ft = 0.0142045 mi
- 200 ft = 0.0378788 mi
- 500 ft = 0.094697 mi
- 2,000 ft = 0.378788 mi
- 10,000 ft = 1.89394 mi
Mistakes when you convert ft to mi
Multiplying instead of dividing
The mile is the larger unit, so the number of miles is smaller than the number of feet. If 1,000 ft turns into 5,280,000, you multiplied.
Rounding too early
Round at the end, not after each step.
Forgetting the unit
Write ft or mi after each number. A bare 0.19 means nothing without it.
Quick answers
How many feet in a mile?
5,280.
How do I convert ft to mi?
Divide the number of feet by 5,280.
What is 1,000 ft in miles?
About 0.1894 mi.
Is the conversion exact?
Yes, the factor 5,280 is exact.
Does my number leave my device?
No. The calculation runs in your browser.
Related pages and a last word
If you work with lengths, these conversions are close at hand: Convert ft to in, Convert ft to yd, Convert nmi to mi, Convert yd to mi, Convert mi to nmi, Convert °C to °F, Convert °F to °C, Convert L to gal, Convert gal to L. The reverse of this page is Convert mi to ft.
In short, to convert ft to mi divide by 5,280, check the result against the anchors of a quarter, half and whole mile, and keep only the digits your measurement supports. Your number stays on your device: nothing is uploaded and no account is needed.