# How do you calculate #abs(-3+2i)#?

##### 1 Answer

#### Explanation:

In general, for a complex number

Applying this to your specific case gives

You've put this question under the trigonometric form of a complex number, so I'll offer some explanation for how the modulus of a complex number relates to its trigonometric form.

Any number on the unit circle in the complex plane can be represented on can be represented as the complex number

In order to represent points in the complex plane not just lying on the unit circle, the number needs to be scaled by the distance from the origin the point is.

As can be seen from the image above (and the Pythagorean theorem) the modulus of

So, for any complex number,

we can write

where

So to represent