So I am back on the Surface! [Part II]

Geometry Level 2

My skeletal friends, Sans and Papyrus, came over to my house today! Papyrus wanted to measure how tall I've grown, while Sans went to talk with my mother for a little while. Papyrus brought some pizza on the way as well, and he cut it in a kind of interesting way (using an enormous hexagonal cookie mold that he borrowed from my father)...

As soon as he did that, Sans posed me a challenge:

I will bet you 500G\Large\text{I will bet you }500G

if you guess the perimeter of the remains of the pizza\large\text{if you guess the perimeter of the remains of the pizza}

Papyrus then told me some useful information to help...

• The hexagon he used to cut it was regular, and had a perimeter of 2121

• He cut it from the perfect centre; he has great skill as a chef

• We should only count whole black lines from the diagram, dotted lines and blue lines are not to be counted... (which means the sum of the two radii and the arc of the sector)

Final answer should be given to two decimal places\large\textbf{Final answer should be given to two decimal places}

Whoever wants to submit a report for this problem can go here\color{#333333}\text{Whoever wants to submit a report for this problem can go here}

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