iCalculator™ Math

Cartesian Coordinate Distance Calculator

Cartesian Coordinate Distance Calculator
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X_A abscissa
Y_A ordinate
X_B abscissa
Y_B ordinate

Cartesian Coordinate Distance Calculator Results
Point A Coordinates =
Point B Coordinates =
Resulting Distance =

What is Cartesian Coordinate Distance?

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.

How to Use the Cartesian Coordinate Distance Calculator

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 Cartesian Coordinate Distance

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

$d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

where:

d is the distance between the two points
x₁ and y₁ are the coordinates of the first point
x₂ and y₂ are the coordinates of the second point

Example

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.

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