Mapping Calculator

IUGG mean Earth radius by default. Use 6371 to match textbook worked examples. Ignored by the Vincenty model, which uses the WGS84 ellipsoid.
Distance
10,007.5572
Great Circle Distance Between Two Coordinates
Distance unit
km
Distance
10,007.557221 km
Distance
10,007,557.221 m
Distance
6,218.407762 mi
Distance
5,403.648607 nmi
Initial bearing
90.000000 deg
Final bearing
90.000000 deg
Compass direction
E
Angular separation
90.00000000 deg
Midpoint latitude
0.000000 deg
Midpoint longitude
45.000000 deg
Model used
haversine
Worked out from R. W. Sinnott, "Virtues of the Haversine", Sky and Telescope 68(2), 159 and 3 other sources.

How this is worked out

4 steps
  1. a = sin²(Δφ/2) + cos φ₁·cos φ₂·sin²(Δλ/2)
  2. a = 0.5, σ = 2·arcsin(√a) = 1.570796326795 rad
  3. d = R·σ = 6371.0088 km × 1.570796326795 = 10007.55722102 km
  4. Initial bearing = 90° (E); final bearing = 90°

Results are general information, not financial, tax, legal, medical or engineering advice.