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## 'Figure of Eight' printed from http://nrich.maths.org/

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.

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.