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F
ew sides, lots of
2-sided p
olygons!
number of sides and perimeter are related
More sides = fewer butts
Look again at that intermediate circle area formula compared
to the polygon area formula you just created:
Area = 1/2 perimeter x apothem Area = 1/2 circumference x radius
Perimeter Circumference
Apothem
Polygon area formula
Circle area formula
A circle really is just another polygon with an infinite number
of sides. At the other end of the scale you’ve got the humble
triangle, the lowest polygon of all. In between those two sit every
other regular polygon you can imagine.
So far, we’ve found that the most butt-space comes from the hot
tub with the fewest sides, and the least butt-space comes from the
hot tub with the most sides. It’s a trend!
butt spac
e
butt spac
e
The triangle-to-circle
Butt
space
polygon continuum
Sides
3 4 6 7 8 9
T
her
e ar
e no 1- or
310 Chapter 7

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