1. What is an Angle Between Two Points Calculator?

Definition: This calculator computes the angle (θ) between two points in a 2D plane using their coordinates.

Purpose: It helps in various applications like navigation, computer graphics, engineering, and physics where angle calculations between points are needed.

2. How Does the Calculator Work?

The calculator uses the arctangent function:

Where:

• \( \theta \) — Angle between the points (degrees)
• \( y_2, y_1 \) — y-coordinates of the points (meters)
• \( x_2, x_1 \) — x-coordinates of the points (meters)

Explanation: The function calculates the angle of the line connecting two points relative to the positive x-axis.

3. Importance of Angle Calculation

Details: Angle calculations are fundamental in determining directions, slopes, orientations, and for various trigonometric applications.

4. Using the Calculator

Tips: Enter the coordinates of two points (x1,y1) and (x2,y2). The calculator will determine the angle between them. Points must not have identical x-coordinates.

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 angle ranges from -180° to +180°, with 0° pointing along the positive x-axis.

Q3: What if my points have the same x-coordinate?
A: The calculator will return 90° (if y2 > y1) or -90° (if y2 < y1) as this represents a vertical line.

Q4: Can I use this for 3D points?
A: No, this calculator is for 2D points only. 3D angles require additional calculations.

Q5: How accurate is the calculation?
A: The calculation is mathematically precise, limited only by floating-point precision in computers.