Solved

[kind zephyr]

its not

you assumed that the center of each "inner" arc is located at the corresponding vertex of the triangle

however, it seems like the smaller circle is the circumscribed circle of the triangle

[iron viper]

the smaller circle is not neccessarily the circumscribed triangle

[kind zephyr]

look at the picture bro

you even claimed that it is a circle

and each vertex lies on it so it is the circumscribed circle of the triangle

[iron viper]

the final answer should have 48 root 3 - 8 pi mutliplied by 3?

bc its only solved for one segment

[radiant fossil]

the 48 root 3 - 8 pi is one of the segments multiplied by 3

by the way, the dots are the centers of circles

[iron viper]

oh yea sry