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Cartesian Coordinate Distance Calculator
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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:
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.