Distance Formula Calculator

Find the distance between two points in a coordinate plane using the distance formula, which is derived from the Pythagorean theorem. Given two points (x₁, y₁) and (x₂, y₂), the distance d = √((x₂-x₁)² + (y₂-y₁)²). This formula extends to 3D with d = √((x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²). Applications include GPS navigation, computer graphics, physics simulations, and geographic information systems. In programming, distance calculations are used for collision detection, nearest-neighbor searches, and clustering algorithms. The formula works for any two points on a plane and always returns a non-negative value.