Equal areas of a circle gives nice art

By Murray Bourne, 01 May 2008

CTK Insights has an interesting post Dividing circular area into equal parts using a pair of compasses and a ruler, complete with proof. [That post is no longer available.]

I applied the process given and divided my circle into 5 equal parts (the semi-circles have centres on the diameter of the large circle, and each semi-circle is a multiple of 1/5 of the large diameter).

Here it is, using squareCircleZ colors: 🙂

dividing a circle into equal parts

See the 2 Comments below.

2 Comments on “Equal areas of a circle gives nice art”

  1. Simon says:

    I'm always on the look-out for design activities to use with Year 10 after their exams. I made a simple template for making this design:

    http://mathsclass.net/comments/equal-areas-in-a-circle/

    Thanks for pointing out this nice design.

  2. Murray says:

    That's great, Simon. Thanks for sharing.

    Ah yes, I remember those "when the exams are over" times...

Leave a comment


Comment Preview

HTML: You can use simple tags like <b>, <a href="...">, etc.

To enter math, you can can either:

  1. Use simple calculator-like input in the following format (surround your math in backticks, or qq on tablet or phone):
    `a^2 = sqrt(b^2 + c^2)`
    (See more on ASCIIMath syntax); or
  2. Use simple LaTeX in the following format. Surround your math with \( and \).
    \( \int g dx = \sqrt{\frac{a}{b}} \)
    (This is standard simple LaTeX.)

NOTE: You can't mix both types of math entry in your comment.

Search IntMath, blog and Forum