Regular polygons and circles

  • Ford Circles
    problem

    Ford Circles

    Age
    16 to 18
    Challenge level
    filled star filled star filled star

    Can you find the link between these beautiful circle patterns and Farey Sequences?

  • A rational search
    problem

    A Rational Search

    Age
    16 to 18
    Challenge level
    filled star filled star filled star

    Investigate constructible images which contain rational areas.

  • Incircles Explained
    article

    Incircles Explained

    This article is about triangles in which the lengths of the sides and the radii of the inscribed circles are all whole numbers.
  • Arclets Explained
    article

    Arclets Explained

    This article gives an wonderful insight into students working on the Arclets problem that first appeared in the Sept 2002 edition of the NRICH website.
  • Pi, a Very Special Number
    article

    Pi, a Very Special Number

    Read all about the number pi and the mathematicians who have tried to find out its value as accurately as possible.
  • Circles, circles everywhere
    article

    Circles, Circles Everywhere

    This article for pupils gives some examples of how circles have featured in people's lives for centuries.
  • project

    Flip Your Mat!

    7 to 14
    filled star empty star empty star

    What shape and size of drinks mat is best for flipping and catching?

  • Using GeoGebra
    article

    Using GeoGebra

    Never used GeoGebra before? This article for complete beginners will help you to get started with this free dynamic geometry software.