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Side lengths
can be dif
ferent.
All these angles
Sides ar
e
l
T
his isn’t just
true f
or r
egular
six-sided
p
olygons.
T
his is true for
regular p
olygons
wi
th an
y number
of sides.
equal sides and angles
Perimeter
Volume
Internal angles
C
ar
p
enter
s w
ant these angles.
If you put ar
ea her
e
that’s cool, t
oo! Y
ou’ll
see why in a bi
t.
What properties of the hot tubs do you need to work out to satisfy:
1. The bands?
2. The environment engineer?
3. The carpenters?
How does it help you that the tubs are all regular polygons?
Since all the sides on a regular polygon are the same length, then all the angles are equal
too, so we’ve only got to find one side and one angle—all the others will match.
People sit around the edges.
Regular polygons have equal sides and angles
Any six-sided polygon could have six different side lengths and
six different angles. But fortunately for us, all the hot tubs are
regular polygons. A six-sided regular polygon has six sides of
equal length and six equal angles.
REGULAR six-
Six-sided polygon:
sided polygon:
ar
e equal.
Sides a
ll equa
length, t
oo.
var
ious lengths.
All these angles
276 Chapter 7

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