# Drawing a Golden Rectangle

October 21st, 2009 by Math Tricks | Filed under Golden Rectangle, Mathematics Concepts.

## Drawing A Golden Rectangle

Drawing a **golden rectangle** is pretty easy using the technique I will show you here. I used PowerPoint to draw the rectangle here, but you can use this technique to draw a **golden rectangle** with just about any drawing program. If you have a compass and a protractor, then I suggest that you try to draw your rectangle on paper.

First, draw a square. You do not need to know the dimensions of the square, just be sure that all the sides are of equal length:

Next, find the midpoint at the base of the square, and draw a line from the midpoint to the upper-right corner of the square:

Now draw a circle with the midpoint of the base as the center. Expand the circle such that the line from the base midpoint to the upper-right corner is a radial line from the center of the circle to the circle’s edge:

Now rotate the radial line downward, keeping the edge of the line on the circle:

Continue with the rotation until the radial line is parallel to the base of the square:

Remove the circle. What is left is the square with an extension at the base:

Draw a rectangle around the base + extension and square height:

Finally, remove the extension and square. What is left is a perfect golden rectangle:

Very easy and neat. Congratulations, now you can create great works of art by incorporating golden rectangles into you masterpieces!

Tags: 1.618, 1.61803399, divine proportion, golden ratio, Golden Rectangle, golden rectangle architecture, golden spiral, phi number, ratio golden, rectangle golden, spiral golden

This technique is great however how can you mathematically or geometrically proof its correctness.

This was really helpful! Thanks