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Head First 2D Geometry by Dawn Griffiths, Stray

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so far the square is winning
Work the formula for circle area backward to get the butt count
for the circle shaped hot tub.
circle area = r
2
perimeter = 2
r
Butts = perimeter
6 =
r
2
3.1415
6 = 6
0.5
0.5 = 17.3 butts
P = 2 x 3.1415 x 1.38
P = 8.67m
Butts = 8.67
= r
2
1.9m
2
= r
2
1.38m = r
radius
6m
2
Circumf
er
ence in the
case of a circle
T
ha
t’s m f
or meter
s, not a new var
iable!
Or 17.4 butts if y
ou didn’t round
as y
ou w
orked—ei
ther is OK.
The square tub beats the circle tub
So, when it comes to providing butt-space for a 3 cubic
meter volume of water, the square shaped hot tub is better
than the circle shaped one.
Both tubs have the same area.
17.3 butts
19.6 butts
Both tubs are the same depth.
288 Chapter 7

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