🧭 Coordinates of Montreal

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45° 30′ 0.0″ N · 73° 34′ 12.0″ W
Decimal degrees (WGS84)45.500000, -73.570000
GeoHash (9 characters)f25dvg5bw
Distance to the equator (along a meridian)5,041 km
Distance to the nearest pole4,961 km
Distance to the prime meridian (along the parallel)5,750 km
ℹ️ What this tool does & how it works

Montreal is at 45.5, -73.57 in WGS84 decimal degrees, which is 45° 30′ 0.0″ N, 73° 34′ 12.0″ W in degrees, minutes and seconds. It lies in the Northern and Western Hemisphere, 5,041 km from the equator along its meridian, 4,961 km from the nearest pole and 5,750 km from the prime meridian measured along its own parallel. Exchange the numbers in the form for any other position and the page reworks every one of them.

Reading Montreal's position

Latitude runs from 0° at the equator to 90° at each pole and is written with the hemisphere letter or a sign — south is negative. Longitude runs from the prime meridian through Greenwich to ±180°, east positive. Montreal at 45.5, -73.57 therefore sits 5,041 km of meridian arc from the equator and 5,750 km of parallel arc from Greenwich. The two numbers are not the same kind of distance: a degree of latitude is roughly constant (about 111 km, and the ellipsoid makes it 110.57 km at the equator, 111.69 km at the poles), while a degree of longitude shrinks with the cosine of the latitude, until it is nothing at all on poles. That is why this page gives the parallel distance separately instead of multiplying degrees by a single factor.

Why DMS, and what a GeoHash is for

Degrees-minutes-seconds is the format of charts, survey markers and aviation logs, because a minute of latitude is by definition close to one nautical mile. A GeoHash is something else entirely: it interleaves the longitude bits and latitude bits of a position and writes each group of five in a thirty-two symbol alphabet, so a cell that starts f25dvg is a rectangle about 1.2 km by 0.6 km containing Montreal. Two points that share a longer GeoHash prefix are near each other, which makes the string useful for indexing, grouping and typing a position into a map without entering two numbers.

The datum matters

Every figure here is WGS84, the same reference GPS broadcasts and web maps display. Older local datums (OSGB, Potsdam, and the various regional surveys) can put the same street corner hundreds of metres away on paper, so a coordinate quoted without its datum is incomplete. Conversions on this page touch no service: the meridian arc is Simpson integration of the exact WGS84 meridian integral, and the parallel radius comes from the ellipsoid's prime-vertical radius of curvature — both run in your browser, so the numbers are checkable and nothing you type leaves the device.

Part of Everyday Tools. Like everything on tukuk.org: free, no account, no tracking.

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