Euclidean Distance Calculator

The Euclidean Distance Calculator computes the straight-line distance between two points in a 2D plane based on user-provided coordinates, also providing the individual distances along the X and Y axes.

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Step-by-Step Guide to Using the Euclidean Distance Calculator

Introduction

The Euclidean Distance Calculator is a tool designed to compute the straight-line distance between two points in a two-dimensional space. It provides insights into the distance along the X-axis and Y-axis as well. Follow the steps below to successfully use the calculator.

Step 1: Input the X₁ Coordinate

Locate the input field labeled X₁ Coordinate. Enter the x-coordinate of the first point. Make sure that the value is a number and follows the required step of 0.0001 for precision.

Step 2: Input the Y₁ Coordinate

Find the input field labeled Y₁ Coordinate and enter the y-coordinate for the first point. It must also be a number with a precision of up to 0.0001 as specified.

Step 3: Input the X₂ Coordinate

Proceed to the field labeled X₂ Coordinate. Here, input the x-coordinate of the second point. Ensure that your entry is precise and follows the numeric step rule of 0.0001.

Step 4: Input the Y₂ Coordinate

In the field labeled Y₂ Coordinate, input the y-coordinate for the second point. Any entries should be numeric and respect the validation step of 0.0001 for accuracy.

Step 5: Observe the Results

  • Euclidean Distance: Once you have entered all the necessary inputs, the calculator will automatically compute the straight-line distance between the two points using the formula √((x₂ – x₁)² + (y₂ – y₁)²). The result is displayed with four decimal precision under the label Euclidean Distance.

  • X-Axis Distance: The calculator will also display the absolute difference between the x-coordinates, which is calculated as |x₂ – x₁|. This value reflects the distance along the X-axis.

  • Y-Axis Distance: Similarly, the distance along the Y-axis is shown as the absolute difference between the y-coordinates, calculated as |y₂ – y₁|.

Conclusion

Using this calculator, you can easily determine the Euclidean distance between two points, along with the respective distances along the X and Y axes. Ensure that all inputs are accurate and meet the validation criteria for precise results.