You are here:

**Please provide a rating**, it takes seconds and helps us to keep this resource free for all to use

In mathematics, Cartesian coordinates are a system that allows us to describe the position of a point in space using numerical values. The distance between two points in a Cartesian coordinate system is calculated using the Pythagorean theorem. The Pythagorean theorem states that the square of the hypotenuse (the longest side) of a right triangle is equal to the sum of the squares of the other two sides.

- Enter the x and y coordinates of the first point in the calculator.
- Enter the x and y coordinates of the second point in the calculator.

Our calculator will automatically calculate the distance between the two points and display it in the output box.

The formula for calculating the distance between two points in a Cartesian coordinate system is:

where:

- d is the distance between the two points
- x
_{1}and y_{1}are the coordinates of the first point - x
_{2}and y_{2}are the coordinates of the second point

Suppose we want to calculate the distance between the points (3, 4) and (7, 9).

- Enter the x and y coordinates of the first point, (3, 4), into the calculator.
- Enter the x and y coordinates of the second point, (7, 9), into the calculator.

The distance between the two points is 6.4 units.