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Distance Calculator – Find Distance Between Two Points | Solvezi
Distance Calculator – Find Distance Between Two Points | Solvezi
Calculate distances in 2D, 3D, and geographic coordinates
2D Plane (XY)
This calculator uses specific mathematical formulas tailored to the coordinate system you select, ensuring accuracy whether you're measuring a straight line in space or an arc on the Earth's surface.
The shortest path between two points in a two-dimensional plane.
Extends the Euclidean formula to three-dimensional space.
Calculates the great-circle distance (shortest path on a sphere).
Sums the 2D Euclidean distance of all sequential segments.
All distance calculations rely on the fundamental theorem derived from the Pythagorean Theorem (a² + b² = c²), which is used to find the length of the hypotenuse (the distance) between two points based on their change in coordinates (Δx and Δy).
When dealing with coordinates on a curved surface like the Earth, the straight-line Euclidean distance is inaccurate. The Haversine Formula calculates the distance along the great circle (the path with the shortest length connecting two points on a sphere). It takes into account the Earth's radius (R ≈ 6371 km) and uses the Haversine function to handle spherical geometry.
a = sin²(Δφ/2) + cos(φ₁) cos(φ₂) sin²(Δλ/2) d = 2R · atan2(√a, √(1-a))
Where φ is latitude, λ is longitude, and Δ denotes the difference between the two points, all converted to radians.