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On a nine-point pegboard a band is stretched over 4 pegs in a "figure of 8" arrangement so that one pair of opposite sides cross and the other pair are parallel.

Figure of eight on a pegboard

How many different "figure of 8" arrangements can be made ?

Which of these arrangements has the area of the lower (green) portion nearest to double the area of the upper (yellow) portion ?

For printable sets of circle templates for use with this activity, please see Printable Resources page.