# Two Dimensional Distance Calculator

## Calculator Use

Calculate the distance between 2 points in 2 dimensional space.

Enter 2 sets of coordinates in the x y-plane of the 2 dimensional Cartesian coordinate system, (X_{1}, Y_{1}) and (X_{2}, Y_{2}), to get the distance formula calculation for the 2 points and calculate distance between the 2 points.

Accepts positive or negative integers and decimals. (6 and/or 6.5)

## Distance Formula:

The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 dimensional plane, the distance between points (X_{1}, Y_{1}) and (X_{2}, Y_{2}) is given by the Pythagorean theorem:

## Calculate Distance

To calculate the distance between 2 points, (X_{1}, Y_{1}) and (X_{2}, Y_{2}), for example, (5, 6) and (-7,11), we plug our values into the distance formula:

combining terms inside parentheses we get:

squaring both terms we get,

adding the 2 results,

finally,

**Cite this content, page or calculator as:**

Furey, Edward "2D Distance Calculator"; from *http://www.calculatorsoup.com* - Online Calculator Resource.