GEOGRAPHY & CARTOGRAPHY CALCULATOR
Distancepolygon Perimeter Geographic
A precise tool.
What is the Distancepolygon Perimeter Geographic & How does it work?
Geographic polygons are defined by a series of latitude‑longitude vertices that trace the shape on the Earth’s surface. Because the Earth is roughly spherical, straight‑line Euclidean distances are inaccurate; instead we use great‑circle distances that follow the curvature of the globe.
The haversine formula gives the shortest distance between two points on a sphere. For points ((phi_1,lambda_1)) and ((phi_2,lambda_2)) the central angle (Deltasigma) is computed, then multiplied by the Earth’s radius (R) to obtain the arc length.
The perimeter of a polygon is the sum of the great‑circle distances of each consecutive vertex pair, closing the loop by connecting the last vertex back to the first. This yields a true geographic perimeter that can be expressed in the chosen unit system.
d = 2R arcsin!left(sqrt{sin^{2}!left(frac{Deltaphi}{2}right) + cosphi_{1},cosphi_{2},sin^{2}!left(frac{Deltalambda}{2}right)}right)
R = Earth radius (km or miles)
Parameters
km
Result
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Frequently Asked Questions
What is a geographic polygon?
A geographic polygon is defined by a series of latitude-longitude vertices that trace a shape on the Earth's surface.
Why use great-circle distances instead of Euclidean distances for polygons?
Great-circle distances follow the curvature of the Earth, making them more accurate for measuring distances on the globe compared to straight-line Euclidean distances.
How does the haversine formula work in this calculator?
The haversine formula calculates the shortest distance between two points on a sphere by determining the central angle between them and then multiplying it by the Earth's radius.
Can I use this calculator for any polygon shape?
Yes, you can use this calculator for any polygon shape as long as you have the latitude-longitude coordinates of its vertices.
What is the difference between geographic and Euclidean distances?
Geographic distances follow the Earth's curvature using great-circle routes, while Euclidean distances are straight-line measurements that do not account for the Earth's spherical shape.
Results are for informational purposes only and do not constitute professional advice.