Distance Between Two Points Calculator
Easily calculate the distance between two points in a 2D Cartesian coordinate system. Visualize the points and the distance on an interactive graph.
Calculation Result:
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Understanding Distance Between Two Points
The distance between two points in a two-dimensional plane is the length of the straight line segment that connects them. This calculator uses the distance formula, derived from the Pythagorean theorem, to compute this distance.
Distance Formula
For two points P₁(x₁, y₁) and P₂(x₂, y₂), the distance 'd' between them is given by:
$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} $$
How to Use This Calculator
- Enter the x and y coordinates for Point 1 (x₁, y₁) and Point 2 (x₂, y₂) in the respective input fields.
- Click the "Calculate Distance" button to compute the distance.
- The result, along with the formula, will be displayed below, and the points will be visualized on the graph to the right.
- Use the "Reset" button to clear all inputs and results.
- Click the "Copy" button to copy the calculated distance formula and value for easy sharing or pasting.
Applications
The distance between two points is a fundamental concept in geometry and has numerous applications in various fields, including:
- Navigation and mapping (calculating distances between locations).
- Computer graphics and game development (determining distances between objects).
- Physics and engineering (calculating displacement and lengths).
- Data analysis and machine learning (measuring similarity between data points).
Source: Wikipedia - Distance