Find Angle Between Two Points Calculator

Angle Formula:

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

x₁ Coordinate:

y₁ Coordinate:

x₂ Coordinate:

y₂ Coordinate:

Angle θ (degrees):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is an Angle Between Two Points Calculator?

Definition: This calculator computes the angle in degrees between two points in a 2D coordinate system.

Purpose: It helps in various fields like mathematics, physics, engineering, and computer graphics to determine the inclination between two points.

2. How Does the Calculator Work?

The calculator uses the arctangent function:

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

Where:

\( \theta \) — Angle in degrees
\( (x_1, y_1) \) — Coordinates of first point
\( (x_2, y_2) \) — Coordinates of second point

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

3. Importance of Angle Calculation

Details: Calculating angles between points is fundamental in slope determination, vector analysis, and direction finding in navigation systems.

4. Using the Calculator

Tips: Enter the coordinates of two points (x₁,y₁) and (x₂,y₂). The points must be different for a valid calculation.

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° along the positive x-axis.

Q3: How is the angle measured?
A: Positive angles are counter-clockwise from the x-axis, negative angles are clockwise.

Q4: What if the points are identical?
A: The calculator won't compute an angle as it's undefined (division by zero).

Q5: Can I use this for 3D points?
A: No, this calculator is for 2D points only. For 3D, you'd need to calculate both azimuth and elevation angles.