Angle Between Two Lines Calculator
Visualize and calculate the angle where two lines intersect using their slopes.
Enter Slopes to Calculate Angle
Input the slopes of two lines to find the angle between them in degrees.
Calculation Result:
Line Visualization:
Understanding Angle Between Two Lines
The angle between two lines is the acute angle formed at their intersection. This calculator helps you find this angle when you know the slopes of the two lines.
Formula Explained
The formula to calculate the angle () between two lines with slopes and is given by:
- arctan (or tan-1) is the arctangent function, the inverse of the tangent function.
- | ... | denotes the absolute value, ensuring we get the acute angle (between 0° and 90°).
How to Use This Calculator
Simply enter the slope of the first line (m1) and the slope of the second line (m2) into the input fields. Click the "Calculate" button to find the angle between the lines. The angle will be displayed in degrees, and a visualization of the lines will be shown below. Use the "Reset" button to clear the inputs and results.
Applications
Understanding the angle between lines is crucial in various fields:
- Geometry: Analyzing shapes and spatial relationships.
- Engineering: Designing structures, roads, and mechanical systems.
- Computer Graphics: Creating rotations, reflections, and other transformations.
- Navigation: Determining bearings and directions.