Area of major segment of a circle having centre o and radius 7 is 115.5 find length of the corresponding arc

well, you have

a = π/2 r^2 θ

So, plug in a and r to find θ, and then you know that the arc length

s = rθ

Or, do it at one fell swoop:

s = r(2a/(πr^2)) = 2a/πr