How do I find the perimeter of these overlapping circles?
The correct answer is 99.5
Denote the points of intersection of the circles as $A$ and $B$ and the centers as $O_1$ and $O_2$.
In triangle $O_1AO_2$ you have three sides so you can find the angles. Then from the information about the angles and the radii of circles you can find the arc lengths and the perimeter.