Distance Between Two Points

For find the Distance Between Two Points use the distance formula

Example

In the formula, the \(x\) and \(y\) represent the numbers from two points on a coordinate plane.
It does not matter which point is first and which one is second—the answer will be the same.

The following example calculates the distance between the points \((0, -2)\) and \((8, 4)\)

The distance between the points \((0, -2)\) and \((8, 4)\) is \(10\)

Construction of the distance formula

The distance between two points on a coordinate plane, is also finding the length of a segment that connects the two points.

In the graphic above, the two lines a and b form the sides of a right-angled triangle. The following Pythagorean theorem can therefore be used to calculate the distance c.

The values for a and b are calculated from the distance of the x and y coordinates

Distance of the Y coordinates

Distance of the X coordinates

If the whole thing is reduced to a formula, you get the distance formula above to calculate the distance of the points.

Calculate angle to the X axis

Distance online calculator →