Which is a better fit, a square peg in a round hole or a round peg in a square hole?
Two circles are enclosed by a rectangle 12 units by x units. The distance between the centres of the two circles is x/3 units. How big is x?
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?
The outer square has sides of length 1.
Can you work out the area of the inner square and give an explanation of how you did it?