Circular Arc Tangent Calculator
Results:
Understanding Circular Arc Tangents
Basic Principles
d = √[(x₂-x₁)² + (y₂-y₁)²]
θ = arccos(r/d)
where d is distance, r is radius, θ is tangent angle
Fundamental Properties
- Perpendicularity at tangent point
- Equal tangent lengths
- Right angle theorem
- Power of a point
- Circle inversion
Applications
- Engineering design
- Computer graphics
- Path planning
- Mechanical systems
- Optical design
Advanced Topics
Geometric Theorems
- Apollonian circles
- Radical axis
- Pole and polar
- Homothety
- Circle bundles
Real-world Applications
- CAD/CAM systems
- Robotics
- Computer vision
- Manufacturing
- Architecture