1. What is the Angle Between Two Points?

The angle between two points refers to the angle that the line connecting them makes with the positive x-axis in a 2D coordinate system. This angle is measured in degrees (0° to 360°) counterclockwise from the positive x-axis.

2. How Does the Calculator Work?

The calculator uses the arctangent function:

Where:

• \( (x_1, y_1) \) — Coordinates of the first point
• \( (x_2, y_2) \) — Coordinates of the second point
• \( \theta \) — Angle in degrees (0° to 360°)

Explanation: The calculator uses the atan2 function which properly handles all quadrants and special cases (like vertical lines).

3. Applications of Angle Calculation

Details: Calculating angles between points is essential in computer graphics, game development, robotics, navigation systems, and physics simulations.

4. Using the Calculator

Tips: Enter the coordinates of two points in a 2D plane. The calculator will determine the angle of the line connecting them relative to the positive x-axis.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between atan and atan2?
A: atan2 takes two arguments (y and x) and returns angles in all four quadrants (-π to π), while atan takes one argument (y/x) and only returns angles between -π/2 to π/2.

Q2: How is the angle measured?
A: The angle is measured counterclockwise from the positive x-axis, ranging from 0° to 360°.

Q3: What if the points are the same?
A: The angle is undefined when both points are identical (division by zero).

Q4: Does the order of points matter?
A: Yes, reversing the points will give you the opposite angle (180° difference).

Q5: Can this be used for 3D points?
A: No, this calculator is for 2D points only. 3D angles require more complex calculations.