About 2D Distance
Coordinate geometry bridges algebra and geometry by assigning numerical addresses (coordinates) to points in space. This makes geometric relationships calculable using algebraic tools.
Core formulas
- Distance between two points: √((x₂−x₁)² + (y₂−y₁)²) in 2D; add (z₂−z₁)² under the radical for 3D
- Midpoint: ((x₁+x₂)/2, (y₁+y₂)/2)
- Slope: (y₂−y₁)/(x₂−x₁) — undefined for vertical lines
- Line equation: y = mx + b (slope-intercept), or Ax + By + C = 0 (standard form)
Coordinate systems
Cartesian (x, y, z) coordinates are most intuitive. Polar coordinates (r, θ) are more natural for rotational problems. Cylindrical and spherical coordinates extend polar to 3D. The conversion formulas between them are used constantly in physics and engineering.
Frequently Asked Questions
How accurate are the results?
The 2D Distance applies a standard formula to your inputs — accuracy depends on how precisely you measure those inputs. For planning and estimation, results are reliable. For high-stakes or professional decisions, cross-check the output with a domain expert or primary source.