hexagon

[september.cooper]

I need to know the value of s and a. S is the side length of the hexagon and a is the smallest width.

The only value I know is A = 48” (inches) and the circumradius which is also 48”.

 

[soroban]

Hello, september.cooper!

You have \(\displaystyle S,\,s,\,A,\,a\) . . . four variables.

If you claim that \(\displaystyle S= s\) and \(\displaystyle A = a\),
. . I'll use \(\displaystyle \Sigma\) and \(\displaystyle \sigma\) ... or \(\displaystyle A\) and \(\displaystyle \alpha\) interchangeably.

I need to know the value of \(\displaystyle S\) and \(\displaystyle A\).
\(\displaystyle S\) is the side-length of the hexagon and \(\displaystyle A\) is the smallest width.

The only value I know is \(\displaystyle A = 48\) inches, .Then why are you looking for A?
and the circumradius which is also 48 inches. .This is not true.

I will assume that we have a regular hexagon . . .I m

                  o
               *  *  *
            *     *     *   R
         o        *        o
         *  *     *     *  *
         *     *  *  *     *
       P *- - - - o - - - -* Q
         *     * O*  *     *
         *  *     *     *  *
         o        *        o
            *     *     *
               *  *  *
                  o

\(\displaystyle PQ = 48\) is the smallest width.

The circumradius is \(\displaystyle OR = 16\sqrt{3}\)
. . which also equals the side-length of the hexagon.

 

[september.cooper]

Thank you this isn't for me I was just trying to help someone out that is designing a project for a charity event so I wasn't sure how to word the problem but I will pass on what you said! -september