Short result:
Distance Between Two Points Calculator
Result
Date publish: 17.09.2024
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Author: Calcwizard
Understanding the Distance Between Two Points
The Distance Between Two Points Calculator is a tool that helps you find the straight-line distance between two points in a two-dimensional space. This distance can be calculated using the formula:
D = √((x2 – x1)² + (y2 – y1)²)
Where:
- D is the distance between the two points.
- (x1, y1) are the coordinates of the first point.
- (x2, y2) are the coordinates of the second point.
Example Calculation
For instance, to find the distance between the points (3, 4) and (7, 1):
- x1 = 3, y1 = 4
- x2 = 7, y2 = 1
Plugging these values into the formula gives:
D = √((7 – 3)² + (1 – 4)²) = √(4 + 9) = √13 ≈ 3.61
Interesting Facts
- The concept of distance in geometry is fundamental to many fields, including physics, engineering, and computer science.
- The distance formula is derived from the Pythagorean theorem, which relates the lengths of the sides of a right triangle.
- In a three-dimensional space, the distance formula can be extended to include a third coordinate (z-axis).
Distance Calculation Examples
| Point 1 (x1, y1) | Point 2 (x2, y2) | Distance (D) |
|---|---|---|
| (1, 2) | (4, 6) | 5.00 |
| (0, 0) | (3, 4) | 5.00 |
| (-1, -1) | (2, 3) | 4.24 |
| (5, 5) | (5, 10) | 5.00 |
| (3, 3) | (6, 7) | 5.00 |
Using this calculator can simplify your work in various applications, from academic studies to real-world problem-solving.
