1. What is the Distance Formula?

The distance formula calculates the straight-line distance between two points in a 2D plane. It's 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.

3. Applications of Distance Calculation

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

4. Using the Calculator

Tips: Enter the coordinates of two points in the same units. The calculator will return the distance in those same units.

5. Frequently Asked Questions (FAQ)

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

Q2: What units should I use?
A: Any consistent units can be used (meters, feet, miles, etc.), as long as both points use the same units.

Q3: Does the order of points matter?
A: No, the distance is the same regardless of which point you consider first.

Q4: Can I use negative coordinates?
A: Yes, the formula works with any real number coordinates.

Q5: How accurate is the calculation?
A: The calculator provides results with 4 decimal places of precision.