1. What is the Angle of a Line?

The angle of a line refers to the measure of inclination between the line and the positive x-axis. It is calculated using the arctangent of the line's slope, providing the angle in degrees or radians.

2. How Does the Calculator Work?

The calculator uses the mathematical formula:

Where:

• \( \text{slope} \) — The slope of the line (rise over run)
• \( \arctan \) — Inverse tangent function
• \( \frac{180}{\pi} \) — Conversion factor from radians to degrees

Explanation: The arctangent function calculates the angle whose tangent equals the given slope, and we convert this angle from radians to degrees for easier interpretation.

3. Importance of Angle Calculation

Details: Calculating the angle of a line is fundamental in geometry, engineering, physics, and computer graphics. It helps determine orientation, direction, and inclination in various applications.

4. Using the Calculator

Tips: Enter the slope value (which can be positive, negative, or zero). The calculator will compute the corresponding angle in degrees relative to the positive x-axis.

5. Frequently Asked Questions (FAQ)

Q1: What does a negative angle mean?
A: A negative angle indicates that the line is inclined downward relative to the positive x-axis.

Q2: What is the range of possible angles?
A: The calculated angle ranges from -90° to 90° (-π/2 to π/2 radians), covering all possible line slopes.

Q3: How is this different from the angle between two lines?
A: This calculates the angle a single line makes with the x-axis, not the angle between two lines.

Q4: What if the line is vertical?
A: A vertical line has an undefined slope, so this calculator cannot compute its angle. Vertical lines are considered to have an angle of 90° or -90°.

Q5: Can I calculate the angle in radians instead?
A: This calculator provides results in degrees. To get radians, remove the 180/π conversion factor.