If you are looking for geometry challenges of the week, click here.
- What is the maximum number of reflex angles that can be in a hectogon? A hectogon has 100 sides.
- What is the maximum number of right angles that can be in a pentacontagon? A pentacontagon has 50 sides.
- What is the area of an ellipse where the distance between foci equals the minor axis equals one centimetre?
- A regular star is made when the sides of a regular polygon are extended. For example, a regular 5 point star is made by extending the sides of a regular pentagon. What is the sum of the angles on the points of a regular 15 pointed star?
- What is the smallest number that appears in 5 Pythagorean triples? A Pythagorean triple is a set of 3 numbers, a b and c, where a2+b2=c2 and a, b and c are whole numbers.