how to create golden ratio circles with adobe illustrator

The golden ratio is used by the graphic designer to make their designs better and more professional.
the designers use the golden ratio in logo design and create a strong composition, in the images below I will show you some of the popular logos that created by using the golden ratio.

in this tutorial, I will show you how to create the golden ratio using adobe illustrator.

1. Prepare the file 

step 1

Open Adobe Illustrator and create a new file go to file>new.

step 2

create a document with 1000*1000 px.

2. create the golden ratio 

step 1

 using the rectangle tool(M) click on the document to create a rectangle with 10*10 px.

step 2

click on the document using the ellipse tool (L) to create a circle with 10*10 px.

step 3

drag the circle above the rectangle using the selection tool(v).

step 4

press on ctrl+a to select all the shapes on the document (the rectangle and the circle).

step 5

go to object>group to group the two shapes together.

step 6

now we need to duplicate the shapes go to edit>copy then edit >paste.

 

step 7

move the second shape above the first shape.

step 8

press on ctrl+y to show the outlined version of the shapes.

step 9

hold alt (to duplicate the shape) and click on the second shape drag it and drop it beside the second shape.

step 10

click on the lift bottom corner and increase the size until you get the double size of the two squares. 

step 11

press on ctrl+a rotate the shapes while holding shift(using shift while you rotating the shape lock the rotation to get the right angle ).

step 12

hold alt and click on the third shape drag it and drop it beside the second shape.

step 13

click on the lift bottom corner and increase the size until you get the same size as the vertical squares.

step 14

press on ctrl+a rotate the shapes from
 horizontal to vertical while holding shift.

step 15

hold alt and click on the fourth shape drag it and drop it beside the last shape.

step 16

click on the lift bottom corner and increase the size until you get the double size of the last shapes.

step 17

press on ctrl+a rotate the shapes while holding shift.

step 18

hold alt and click on the fourth shape drag it and drop it beside the last shape.

step 19

click on the lift bottom corner and increase the size until you get the double size of the last shapes then press on ctrl+a rotate the shapes while holding shift.

step 20

rebate the same previous step until you get 8 rectangle 

the last result will be 8 rectangles same as the image below.

step 21 

press on ctrl+y to show the color to the golden ratio that we made.

now we have our golden ratio completed

3. get the golden circle 

step 1

press on ctrl+a to select the golden ratio.
.

step 2

go to object>ungroup to separate the shapes.

step 3

click on the circle while holding shift, now we have all of the circle selected.

step 4

press ctrl+c to copy the circles then press on ctrl+v to paste the circles.

now we have the golden circle we can use them in our design, wait for our next tutorial how we can use the golden ratio on the logo design process.