### 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?

# Triangles in Circles

##### Stage: 3 Challenge Level:

In this problem you can make use of the coloured rubber bands in the interactivity below.

How many different triangles can you make which consist of the centre point and two of the points on the edge?

Can you find the angle at the centre point each time?

Can you find the other two angles in each triangle?

Full Screen Version
This text is usually replaced by the Flash movie.

If you'd like to work on paper, you could use a print out of these nine-peg circles .

Look at these two triangles. Can you work out each of their angles?

Draw some other triangles on the 9 peg circles. Can you work out each of their angles?

Many thanks to Geoff Faux who introduced us to the merits of the 9 pin circular geo-board.