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Distance Calculator Math Problems

Distance Formula:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

m
m
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1. What is a Distance Calculator?

Definition: This calculator computes the straight-line distance between two points in a 2D plane using their coordinates.

Purpose: It helps students, engineers, and professionals calculate distances for geometry problems, mapping, and various technical applications.

2. How Does the Calculator Work?

The calculator uses the distance formula:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Where:

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: Accurate distance measurement is fundamental in geometry, physics, engineering, navigation, and computer graphics.

4. Using the Calculator

Tips: Enter the coordinates of two points in meters (can be positive or negative values). The calculator will determine the straight-line distance between them.

5. Frequently Asked Questions (FAQ)

Q1: Can this be used for 3D coordinates?
A: No, this is for 2D only. For 3D, 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 whether you calculate from point A to B or B to A.

Q3: What if my coordinates are in different units?
A: Convert all coordinates to the same unit before calculation for accurate results.

Q4: Can I use negative coordinates?
A: Yes, the formula works with both positive and negative coordinate values.

Q5: How accurate is the calculation?
A: The calculator provides results accurate to 3 decimal places, but actual accuracy depends on your input precision.

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