Long Short
What can you say about the lengths of the sides of a quadrilateral whose vertices are on a unit circle?
What can you say about the lengths of the sides of a quadrilateral whose vertices are on a unit circle?
The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?
What fractions can you divide the diagonal of a square into by simple folding?
What shape is made when you fold using this crease pattern? Can you make a ring design?
Use this information to work out whether the front or back wheel of this bicycle gets more wear and tear.
Try to picture these buildings of cubes in your head. Can you make them to check whether you had imagined them correctly?
P is a point on the circumference of a circle radius r which rolls, without slipping, inside a circle of radius 2r. What is the locus of P?