1. What Is The Angle Between Two Points?

The angle between two points represents the direction from point (x₁,y₁) to point (x₂,y₂) relative to the horizontal axis. It's calculated using the arctangent of the slope between the two points.

2. How Does The Calculator Work?

The calculator uses the mathematical formula:

Where:

• \( x_1, y_1 \) — Coordinates of the first point
• \( x_2, y_2 \) — Coordinates of the second point
• \( \arctan \) — Inverse tangent function

Explanation: The formula calculates the angle in radians, which is then converted to degrees for easier interpretation.

3. Importance Of Angle Calculation

Details: Angle calculation between points is essential in various fields including computer graphics, navigation, physics, engineering, and game development for determining directions and orientations.

4. Using The Calculator

Tips: Enter the coordinates of both points. The calculator will determine the angle from the first point to the second point relative to the horizontal axis. Note that x-coordinates cannot be identical.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of the calculated angle?
A: The angle ranges from -90° to +90° (or 0° to 180° when considering quadrant adjustments).

Q2: Why can't x-coordinates be the same?
A: When x₁ = x₂, the denominator becomes zero, resulting in division by zero which is mathematically undefined.

Q3: How is the angle measured?
A: The angle is measured from the horizontal axis (x-axis), with positive angles counterclockwise and negative angles clockwise.

Q4: Can this calculator handle 3D coordinates?
A: No, this calculator is designed for 2D coordinates only. For 3D angles, additional calculations are required.

Q5: What units are used for the result?
A: The result is displayed in degrees (°), which is the standard unit for angle measurement in most applications.