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$${ \text{Distance } = \sqrt { (x_2 - x_1)^2 + (y_2 - y_1)^2 } }$$

Result

$${}$$

Try our 2D distance formula calculator between two points in a 2-dimensional Cartesian plane. Use the marker to measure distances.

How to calculate the distance between two points on a Cartesian system?

In order to calculate the distance between two points on a plane, you must have the coordinates of each of the two points. In a two-dimensional landmark, you must know the abscissa and the ordinate. Some generalities:

  • The abscissas are generally denoted “x” and refer to the horizontal measurement of the plane.
  • The ordinates are often denoted “y” and refer to the vertical measurement of the plane.

Once these elements have been obtained, simply use the calculation formula: distance = √ ((x2-x1) ^ 2 + (y2-y1) ^ 2) Distance in 2 dimensions.

2D Distance Calculation with Steps

You have to now that the formula given above is made from the pythagorean theorem. If we consider the following data:

  • x1=5
  • x2=9
  • y1=8
  • y2=3

We have to complete the formula like this: distance = √ ((9-5) ^ 2 + (3-8) ^ 2)

Thus, here are all steps with our example:

  • distance = √ ((8-5) ^ 2 + (3-8) ^ 2)
  • distance = √ ((4) ^ 2 + (-5) ^ 2)
  • distance = √ (16 + 25)
  • distance = √ 41
  • distance ≈ 6.4031242374328485