Polar coordinates (r, θ) locate a point by distance r from origin and angle θ from the positive x-axis. Cartesian coordinates (x, y) use perpendicular axes. Conversion: x = r·cos(θ), y = r·sin(θ). Reverse: r = √(x²+y²), θ = atan2(y, x).
How to Use
Choose conversion direction:
- Polar → Cartesian: Enter r and θ
- Cartesian → Polar: Enter x and y
- Toggle: Degrees or radians
Formulas
- x = r·cos(θ)
- y = r·sin(θ)
- r = √(x² + y²)
- θ = atan2(y, x)
Quadrants
- Q1: x>0, y>0 (0°–90°)
- Q2: x<0, y>0 (90°–180°)
- Q3: x<0, y<0 (180°–270°)
- Q4: x>0, y<0 (270°–360°)
Step-by-Step Instructions
- 1Select conversion direction.
- 2Enter coordinates.
- 3Toggle degrees/radians.
- 4View converted coordinates.
- 5Check the quadrant.