# Convert a Complex Number to

Polar and Exponential Forms - Calculator

An easy to use calculator that converts a complex number to polar and exponential forms. The idea is to find the modulus r and the argument θ of the complex number such that

Let z be complex number in standard form given by : z = a + i b. The polar and exponential forms of z are given by:

z = a + i b = r ( cos(θ) + i sin(θ) ) , Polar form

z = a + ib = r e^{iθ} , Exponential form

with r = √ (a^{2} + b^{2}) and tan(θ) = b / a , such that -π < θ ≤ π or -180° < θ ≤ 180°

## Use Calculator to Convert a Complex Number to Polar and Exponential Forms

Enter the real and imaginary parts a and b and the number of decimals desired and press "Convert to Polar and Exponential".### More References and links

Operations on Complex Numbers in Polar FormComplex Numbers - Basic Operations

Questions on Complex Numbers

Maths Calculators and Solvers