Let radii of circle r1 and r2.
then angle substened by an arc at the centre of first circle is
θ = 60° = π /3 radian
Angle subtended by an arc at the centre of second circle is
= 75° = 75π /180 = 5π /12
From formula : Length of arc ( l )
= radius (r) x angle (θ)
∴ Length of arc of first circle = π /3 x r1
Length of arc of second circle = 5π /12 x r2
Given that: Arcs of two circles are of same length