# What is the modulus of a complex number?

##### 1 Answer

May 11, 2015

In simple terms the modulus of a complex number is its size.

If you picture a complex number as a point on the complex plane, it is the distance of that point from the origin.

If a complex number is expressed in polar coordinates (i.e. as

If a complex number is expressed in rectangular coordinates - i.e. in the form

From Pythagoras theorem we get: