The intercepted arc of an angle is calculated through the equation,
arc = (A / 2π) x 2πr
where A is the angle in radians and r is the radius. Substituting the known values,
arc = (7π/4 / 2π) x 2π x 5 = 35π/4 ≈ 27.5
Thus, the length of the arc is approximately 27.5.