Distance Between Two Points

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Calculate

Example: on a grid map, the school is at (1, 2) and home at (4, 6), with 1 km blocks. What is the straight-line distance? Change the values to work out your own case.

x₁ y₁ x₂ y₂

Step by step

What each term means

Distance (d): The length of the segment between the two points, in a straight line.
Root of the Sum of Squares: Δx = x₂ − x₁ and Δy = y₂ − y₁ are the legs of a right triangle, and the distance is the hypotenuse: Pythagoras' theorem. The points at a distance r from a centre (a, b) form the circle (x − a)² + (y − b)² = r².