
276 Chapter 7
equal sides and angles
Perimeter
Volume
Internal angles
Carpenters want these angles.
If you put area here
that’s cool, too! You’ll
see why in a bit.
Side lengths
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.
Regular polygons have equal sides and angles
Six-sided polygon:
REGULAR six-
sided polygon:
All these angles
can be different.
All these angles
are equal.
Sides are
various lengths.
Sides all equal
length, too.
This isn’t just
true for regular
six-sided polygons.
This is true for
regular polygons
with any number
of sides.
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.
People sit around the edges.