r = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Sat, 18 Apr 2026 15:01:05 +0000

# Understanding the Distance Formula: r = √[(x₂ − x₁)² + (y₂ − y₁)²] When it comes to geometry and coordinate systems, one of the most foundational and frequently used equations is the distance formula. Often expressed as: r = √[(x₂ − x₁)² + (y₂ − y₁)²] This formula calculates the straight-line distance between two points on a 2D plane. Whether you're working on map navigation, computer graphics, physics problems, or data visualization, understanding and applying the distance formula is essential.