Great circle distance radius map

Measure the shortest spherical surface distance between coordinates and draw a radius around the starting point.

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Starting latitude (degrees)

Starting longitude (degrees)

More inputs and assumptions

Ending latitude (degrees)

Ending longitude (degrees)

Radius around start (km)

Sphere radius (km)

Answer

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Measure the shortest spherical surface distance between coordinates and draw a radius around the starting point.

More results

Precision and calculation record

Decimal places in numeric results and text downloads

Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.

Saved scenario

Save the current answer, then change an input to compare. This clears when you leave.

Formula and assumptions

Haversine distance = 2R atan2(√h, √(1−h)), with latitude/longitude in radians. The default 6,371 km is NASA’s Earth volumetric mean radius; change it for another spherical model. The coordinate grid is an equirectangular diagram, not a street map. It has no geocoding, roads, borders or navigation advice, and it does not account for Earth’s ellipsoidal shape.

Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

Longitude: −180° to 180° left to right. Latitude: 90° to −90° top to bottom. A is the start; B is the destination. The teal curve marks your radius. The projection distorts shapes near the poles.

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Updated 2026-09-26

Using Great circle distance radius map

Measure the shortest spherical surface distance between coordinates and draw a radius around the starting point.

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A worked example

Example inputs: starting latitude (degrees) = 0, starting longitude (degrees) = 0, ending latitude (degrees) = 0, ending longitude (degrees) = 90, radius around start (km) = 1000, sphere radius (km) = 6371. Great-circle distance (km) = 10007.543398010286.

Before you use the result

Example results for ending longitude (degrees)

These examples use Starting latitude (degrees): 0; Starting longitude (degrees): 0; Ending latitude (degrees): 0; Radius around start (km): 1000; Sphere radius (km): 6371. They are reference calculations, not recommended settings.

Ending longitude (degrees)	Great-circle distance (km)
45	5003.77169901
90	10007.543398
180	20015.086796

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ToolOctopus. “Great circle distance radius map.” Updated 2026-09-26. https://tooloctopus.com/great-circle-distance-radius-map.

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