There are many activities that make use of a pinboard or geoboard.
By using the controls at the bottom of the interactivity you can
change the number of points around the circle - or select a
geoboard with a central pin - or create a square pinboard.
Click on the colour bands, then drag the band you create onto the
board. To attach them you will need to pull them over the pegs. To
change their position - or remove them - "loop" them off each peg
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Please see http://nrich.maths.org/techhelp/#flash to enable it.
If you would like to work on paper, the
Printable Resources page
has links to printable sheets of
circles with a range of numbers of circumferential dots.