1. What is the Distance Between Points?

The distance between two points on a plane is the length of the straight line connecting them. It's calculated using the Pythagorean theorem applied to the differences in their coordinates.

2. How Does the Calculator Work?

The calculator uses the distance formula:

Where:

• \( (x_1, y_1) \) — Coordinates of the first point
• \( (x_2, y_2) \) — Coordinates of the second point
• \( d \) — Calculated distance between the points

Explanation: The formula calculates the hypotenuse of a right triangle formed by the differences in x and y coordinates.

3. Importance of Distance Calculation

Details: Distance calculation is fundamental in geometry, physics, computer graphics, and many engineering applications where spatial relationships matter.

4. Using the Calculator

Tips: Enter the coordinates of two points in the plane. The calculator will compute the straight-line distance between them.

5. Frequently Asked Questions (FAQ)

Q1: Does the order of points matter in the calculation?
A: No, the distance is the same regardless of which point you consider first because the differences are squared.

Q2: What units does the calculator use?
A: The distance is in the same units as your input coordinates. If you enter coordinates in meters, the distance will be in meters.

Q3: Can this be used for 3D points?
A: No, this calculator is for 2D points only. For 3D points, you would need to extend the formula to include the z-coordinate.

Q4: What's the maximum distance this can calculate?
A: The calculator can handle any distance within the limits of floating-point arithmetic, though extremely large values may lose precision.

Q5: How accurate is the calculation?
A: The calculation is mathematically exact for the given inputs, with results rounded to 4 decimal places for display.