# Hexagon around circle

Printable View

• Feb 7th 2010, 09:52 AM
stuartadair
Hexagon around circle
Hello all,

I've bought an inflatable spa pool that is 1.8m outside diameter. I want to build a hexagonal wooden frame around it to protect the structure. Each side of the hexagon should touch the pool.
What internal angle should the hexagon have and how long should each side be ?
Thanks in advance

Stu
• Feb 7th 2010, 10:33 AM
VonNemo19
Quote:

Originally Posted by stuartadair
Hello all,

I've bought an inflatable spa pool that is 1.8m outside diameter. I want to build a hexagonal wooden frame around it to protect the structure. Each side of the hexagon should touch the pool.
What internal angle should the hexagon have and how long should each side be ?
Thanks in advance

Stu

All internal angles of a hexagon are \$\displaystyle 120^\circ\$.
• Feb 7th 2010, 10:39 AM
Archie Meade
Quote:

Originally Posted by stuartadair
Hello all,

I've bought an inflatable spa pool that is 1.8m outside diameter. I want to build a hexagonal wooden frame around it to protect the structure. Each side of the hexagon should touch the pool.
What internal angle should the hexagon have and how long should each side be ?
Thanks in advance

Stu

First get the pool diameter.

Then, a hexagon side length is \$\displaystyle Dtan30^o\$
• Feb 7th 2010, 10:53 AM
stuartadair
Thanks all for the replies, just to make sure I've got this right...

• Pool external diameter is 1.8m
• so using dtan30º would give me
• 1.8m x 0.577 = 1.03m length of each side.
• Feb 7th 2010, 11:03 AM
VonNemo19
Quote:

Originally Posted by stuartadair
Thanks all for the replies, just to make sure I've got this right...

• Pool external diameter is 1.8m
• so using dtan30º would give me
• 1.8m x 0.577 = 1.03m length of each side.

Correct, but I'm sure that a better approximation would be: \$\displaystyle s=1.0{\color{red}4}m\$
• Feb 7th 2010, 11:18 AM
stuartadair
Thanks