Copyright © University of Cambridge. All rights reserved.

## 'Curvy Areas' printed from http://nrich.maths.org/

Take a look at the image below:

Can you see how the image was created?

Try to recreate it using a ruler and compasses.

Here are two images created in a similar way.

Can you work out the proportion of the 3-colour, 4-colour and 5-colour circles which is shaded red?

Can you make any generalisations?

Can you prove your ideas?

**Extension**

What about the proportion which is shaded orange? Yellow? ...

Can you make any generalisations?

Can you prove your ideas?

Click here for a poster of this problem.