Work out cartesian to polar coordinates instantly with clear inputs, formula shown and shareable results.
Polar coordinates give a distance from the origin and an angle. The radius is √(x² + y²) and the angle uses atan2 rather than plain arctan, so it lands in the correct quadrant.
Cartesian to polar
r = √(x² + y²), θ = atan2(y, x)
r = 5 and θ = atan2(4, −3) ≈ 126.8698976°, correctly in the second quadrant.
Because it loses the sign information: (−3, 4) and (3, −4) give the same ratio but lie in opposite quadrants.