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'Triangles All Around' printed from http://nrich.maths.org/
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before trying this problem.
How many different triangles can you draw on a circular pegboard
which has four equally spaced pegs?
What are the angles of each triangle?
If you have a six-peg circular pegboard, how many different
triangles are possible now?
What are their angles?
How many different triangles could you draw on an eight-peg
Can you find the angles of each?
You may like to use the interactivity to try out your ideas.
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For printable sets of circle templates for use with this activity,
Printable Resources page
Many thanks to Geoff Faux who introduced us to
the merits of the 9 pin circular geo-board.
The boards, moulded in crystal clear ABS
that can be used on an OHP (185 cm in diameter), together with a
teacher's guide, are available from Geoff at Education