Distance Calculator
Calculate distances in 2D plane, 3D space, latitude and longitude, and points on a map with interactive visualizations and step-by-step solutions.
Distance Calculator
Calculate distances in 2D plane, 3D space, latitude and longitude, and points on a map.
2D Distance Calculator
Use this calculator to find the distance between two points on a 2D coordinate plane.
2D Coordinate System
3D Distance Calculator
Use this calculator to find the distance between two points on a 3D coordinate space.
3D Coordinate System
Distance Based on Latitude and Longitude
Use this calculator to find the shortest distance (great circle/air distance) between two points on the Earth's surface.
Great Circle Distance
About Distance Calculations
Distance calculations are fundamental in mathematics, physics, geography, and many other fields. Different formulas are used depending on the coordinate system and space dimensions.
2D Distance Formula:
• d = √[(x₂-x₁)² + (y₂-y₁)²]
• Euclidean distance in plane
• Also called Pythagorean theorem
• Used for flat surfaces
3D Distance Formula:
• d = √[(x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²]
• Euclidean distance in space
• Extension of 2D formula
• Used for 3D coordinates
Great Circle Distance:
• Haversine formula
• Shortest distance on sphere
• Used for Earth's surface
• Accounts for curvature
Applications:
- • Navigation and GPS
- • Surveying and mapping
- • Physics and engineering
- • Computer graphics
- • Astronomy
- • Sports analytics