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Compute An Angle From 2 Points

Angle Calculation Formula:

\[ \theta = \arctan\left(\frac{y_2 - y_1}{x_2 - x_1}\right) \]

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1. What is Angle Calculation From 2 Points?

Definition: This calculator computes the angle (in degrees) of the line connecting two points relative to the horizontal axis.

Purpose: It's useful in various fields including engineering, physics, computer graphics, and navigation to determine orientation between points.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \theta = \arctan\left(\frac{y_2 - y_1}{x_2 - x_1}\right) \]

Where:

Explanation: The angle is calculated using the arctangent of the slope between the two points, then converted from radians to degrees.

3. Importance of Angle Calculation

Details: Accurate angle calculation is essential for proper alignment in construction, determining trajectories in physics, and creating accurate graphics in computer applications.

4. Using the Calculator

Tips: Enter the coordinates of two points (x1,y1) and (x2,y2) in meters. The calculator will determine the angle of the line connecting them relative to the x-axis.

5. Frequently Asked Questions (FAQ)

Q1: What coordinate system is used?
A: The calculator uses standard Cartesian coordinates with x increasing to the right and y increasing upwards.

Q2: What's the range of the calculated angle?
A: The arctangent function returns values between -90° and +90°. For full 360° range, additional quadrant checking is needed.

Q3: What happens if x1 = x2?
A: The calculator handles vertical lines (undefined slope) separately, returning either 90° or -90° depending on the y-values.

Q4: Can I use different units besides meters?
A: Yes, any consistent linear unit can be used (feet, inches, etc.) as the calculation only depends on the ratio of differences.

Q5: How precise is the calculation?
A: The result is precise to 3 decimal places, sufficient for most practical applications.

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