Answer:
107.94 inches
Explanation:
Circumference = 2 pi r = 6.28 *31 = 194.28
1% arc = 3.6 = 1.9428
55.56% of 360=200.016
55.56% of 194.28 =107.94
You can try using this guide to apply to arc segments
The radius is 31inch if it was a prime factor of 360 then you could use the equation arc = radius / no of segments
Ifthe circle had 30 inch radius then 360/30 = 12
Then divide by the 200/30 = 6.66
The circumference then would be similar 114.44inch