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Mean Geometrically

Age 16 to 18
Challenge Level Yellow starYellow star
  • Problem
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Area fomulas and a little trig will help.

 

Here is the diagram if you need some clues to get started:

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Approximating Pi

By inscribing a circle in a square and then a square in a circle find an approximation to pi. By using a hexagon, can you improve on the approximation?

Spokes

Draw three equal line segments in a unit circle to divide the circle into four parts of equal area.

A Rational Search

Investigate constructible images which contain rational areas.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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