Complex Number Polar Form
Result
Magnitude (r) 5.0000
Argument (θ) degrees 53.13°
Argument (θ) radians 0.9273
Polar Form 5.0000∠53.13°
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)