# |COMPLEXE NUMBERS| What is the geometrical representation of |z| = 2? Thank you!

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Hello! I don't get this because I thought you needed an angle to solve this? Obviously, that is probably not the case...

Hello! I don't get this because I thought you needed an angle to solve this? Obviously, that is probably not the case...

##### 3 Answers

Circle

#### Explanation:

Consider

Z = x + iy

therefore |z| =

also |z| = 2

hence

therefore it represents a circle

Hope u find it helpful :)

circle centre

#### Explanation:

so replace

by definition

circle centre

For any complex number

Let

#|z|^2=zz^"*"# #=(x+iy)(x-iy)=x^2+y^2#

Now the given equation becomes

#sqrt(x^2+y^2)=2#

Squaring both sides we get

#x^2+y^2=4#

The equation represents a circle with center at the origin and radius