Complex Number Polar Form

Complex Polar Form converts rectangular (a+bi) to polar (r∠θ). Formula: r = √(a²+b²); θ = atan2(b,a).

Formula

r = √(a²+b²); θ = atan2(b,a)

3 + 4i

Inputs
  • Real Part (a): 3
  • Imaginary Part (b): 4

r = √(9+16) = 5; θ = atan2(4,3) ≈ 53.13°

Frequently asked questions

What is polar form?
Represents complex number as magnitude r and angle θ: r∠θ or r(cos θ + i sin θ)