1. What is the Distance Formula?

The distance formula calculates the straight-line distance between two points in a 2D plane. It is derived from the Pythagorean theorem and is fundamental in geometry, physics, and many applied sciences.

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

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

3. Applications of Distance Calculation

Details: Distance calculations are used in navigation, computer graphics, physics, engineering, game development, and many other fields where spatial relationships are important.

4. Using the Calculator

Tips: Enter the coordinates of both points in the same units. The calculator will return the distance in those same units. Works with both positive and negative coordinates.

5. Frequently Asked Questions (FAQ)

Q1: Can this calculator work in 3D space?
A: No, this calculator is for 2D coordinates only. For 3D space, you would need to add a z-coordinate term to the formula.

Q2: Does the order of points matter?
A: No, the distance is the same regardless of which point you consider first because the differences are squared.

Q3: What units does the calculator use?
A: The calculator uses whatever units you input. The result will be in those same units.

Q4: Can I use decimal values?
A: Yes, the calculator accepts decimal values for coordinates.

Q5: How accurate is the calculation?
A: The calculation is mathematically precise, though displayed with 2 decimal places for readability.