### Floored

A floor is covered by a tessellation of equilateral triangles, each having three equal arcs inside it. What proportion of the area of the tessellation is shaded?

### Pie Cuts

Investigate the different ways of cutting a perfectly circular pie into equal pieces using exactly 3 cuts. The cuts have to be along chords of the circle (which might be diameters).

### Getting an Angle

How can you make an angle of 60 degrees by folding a sheet of paper twice?

##### Stage: 3 Challenge Level:

This problem is in two parts. The first part consists of four similar challenges which provide building blocks to help you to solve the final challenge. You could work on them with others, but if you are working on your own, you may not need to attempt all four.
Of course, you are welcome to go straight to the Final Challenge!

In this problem, you will be working with cyclic quadrilaterals. A cyclic quadrilateral is a quadrilateral whose vertices lie on a circle. There is an interactivity at the bottom of the page which you can use to create cyclic quadrilaterals.

Click on one of the questions below to get started.

Question A

Question B

Question C

Question D

Final Challenge

You may find this Virtual Geoboard useful.
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