Answer :

Given:

A circular piece of stock be to mill a hexagonal shape with a side length of 2.7 ​in.

Required:

We need to find the diameter of hexagon.

Explanation:

now use the sin function

[tex]\begin{gathered} sin30=\frac{1.35}{r} \\ \\ \frac{1}{2}=\frac{1.35}{r} \\ \\ r=2.7 \end{gathered}[/tex]

so by r

[tex]d=2r=5.4\text{ in}[/tex]

Final answer:

Diameter of hexagon is 5.4 in

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