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?
How can you make an angle of 60 degrees by folding a sheet of paper
The three corners of a triangle are sitting on a circle. The angles
are called Angle A, Angle B and Angle C. The dot in the middle of
the circle shows the centre. The counter is measuring the size of
Angle A in degrees. What is the smallest Angle A can be? What is
the largest Angle A can be? What else do you notice about Angle A
as you move the corners of the triangle around the circle?
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).
How would you cut the pie into 8 equal pieces using 3 cuts if
this time the cuts don't have to be straight lines?