1. What is an Angle Between 2 Points Calculator?

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

Purpose: It helps in geometry, engineering, and physics applications where the inclination of a line between two points needs to be determined.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( θ \) — Angle in degrees
• \( y_2, y_1 \) — Y-coordinates of points 2 and 1
• \( x_2, x_1 \) — X-coordinates of points 2 and 1

Explanation: The calculator first finds the slope between the two points, then calculates the arctangent of this slope to determine the angle.

3. Importance of Angle Calculation

Details: Calculating angles between points is essential in navigation, computer graphics, robotics, and structural engineering for determining orientations and inclinations.

4. Using the Calculator

Tips: Enter the coordinates of two points 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 does the angle represent?
A: The angle represents the inclination of the line connecting the two points relative to the positive x-axis.

Q2: What happens when x-coordinates are equal?
A: When x1 = x2, the line is vertical and the angle is either 90° or -90° depending on the y-coordinates.

Q3: What's the range of possible angles?
A: The angle ranges from -90° to 90° (-π/2 to π/2 radians).

Q4: Does this calculate the angle between three points?
A: No, this calculates the angle of the line between two points. For angle between three points (vertex angle), a different calculation is needed.

Q5: Can I use different units besides meters?
A: Yes, as long as both points use the same units, the angle calculation will be correct.