📐Polar / Cartesian Coordinate Converter
Polar coordinates represent a point by distance r from the origin and angle θ from the positive x-axis. Natural for circular and radial problems. x = r cos θ, y = r sin θ.
- 1Cartesian to polar: r = √(x²+y²) · θ = atan2(y,x)
- 2Polar to Cartesian: x = r cos θ · y = r sin θ
Cartesian (3, 4)=Polar (5, 53.13°)r=√(9+16)=5; θ=atan2(4,3)=53.13°
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Fun Fact
The equation of a circle in polar is simply r = constant — elegantly simpler than the Cartesian x²+y²=r².
References
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