Angle And Side Length Calculator Using Coordinates

Angle and Distance Formulas:

\[ \text{Angle} = \arctan\left(\frac{y_2 - y_1}{x_2 - x_1}\right) \] \[ \text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Angle:

Distance:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Angle and Distance Calculator?

This calculator determines the angle (in degrees) and distance between two points in a 2D coordinate system. It's useful for geometry, physics, engineering, and computer graphics applications.

2. How Does the Calculator Work?

The calculator uses these mathematical formulas:

\[ \text{Angle} = \arctan\left(\frac{y_2 - y_1}{x_2 - x_1}\right) \] \[ \text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Where:

\( (x_1, y_1) \) — Coordinates of the first point
\( (x_2, y_2) \) — Coordinates of the second point
The angle is calculated in degrees (0° to 360°)
Distance is the straight-line length between the points

Explanation: The angle is calculated using the arctangent function (atan2 for proper quadrant determination), and distance uses the Pythagorean theorem.

3. Applications of Angle and Distance Calculations

Details: These calculations are fundamental in navigation systems, computer graphics, robotics, physics simulations, and engineering design.

4. Using the Calculator

Tips: Enter coordinates for two points. The calculator will determine the angle from point 1 to point 2 (measured from positive x-axis) and the distance between them.

5. Frequently Asked Questions (FAQ)

Q1: What coordinate system does this use?
A: The calculator uses standard Cartesian coordinates with x increasing to the right and y increasing upward.

Q2: How is the angle measured?
A: Angle is measured in degrees from the positive x-axis, with positive angles going counterclockwise.

Q3: What if the points are the same?
A: The distance will be 0, and the angle will be undefined (calculator will show an error).

Q4: Can this be used for 3D coordinates?
A: No, this calculator is for 2D coordinates only. 3D calculations require additional formulas.

Q5: How precise are the results?
A: Results are precise to 2 decimal places, but accuracy depends on input precision.