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Distance Formula

d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}

Description

Finds the distance between two points in a coordinate plane.

Variables

Symbol Meaning
d Distance
(x_1, y_1) First point
(x_2, y_2) Second point

Example

Problem

Distance between (1,2) and (4,6)

Solution

d = √(9+16) = 5

Real-World Applications

  • GPS navigation
  • Computer graphics
  • Mapping