D x 2 - x 1 2 y 2 - y 1 2 The expression x 2 - x 1 is read as the change in x and y 2 - y 1 is the change in y. Distance x 2 x 1 2 y 2 y 1 2. Given two points x 1 y 1 x 2 y 2 the formula for distance is calculated with the following formula.
More abstractly it is the study of semimetric spaces and the isometric transformations between them.
This distance formula calculator calculates the distance between any two given points defined by their coordinates including coordinates in the form of a fraction. Since this format always works it can be turned into a formula. C 2 a 2 b 2. AB x2 x12 y2 y12 A B x 2 x 1 2 y 2 y 1 2 This is the widely used distance formula to determine the distance between any two points in the coordinate plane.