Calculator and for calculating the polar form of a complex number
Enter a complex number to calculate the polar shape. The result can be displayed in degrees or radians.

Magnitude r = 2
Angle φ = 45°
Every complex number \(z\) can be represented as a vector in the Gaussian number plane. This vector is uniquely defined by the real part and the imaginary part of the complex number \(z\).
A vector emanating from the zero point can also be used as a pointer. This pointer is uniquely defined by its length and the angle \(φ\) to the real axis.
Positive angles are measured counterclockwise, negative angles are clockwise.
A complex number can thus be uniquely defined in the polar form by the pair \((z, φ)\). \(φ\) is the angle belonging to the vector. The length of the vector \(r\) equals the magnitude or absolute value \(z\) of the complex number.
The general notation \(z = a + bi\) is called normal form (in contrast to the polar form described above).
