To find the arc length, we can use the formula:
Arc Length = r × θ
where r is the radius and θ is the angle in radians.
In this case, the angle given is 8π/3 and the radius is 5 cm.
Now we can calculate the arc length:
Arc Length = 5 cm × (8π/3)
So, Arc Length = (40π/3) cm.
The approximate numerical value can be calculated by substituting π with 3.14, giving:
Arc Length ≈ (40 × 3.14)/3 cm ≈ 41.87 cm.
Thus, the arc length for an angle of 8π/3 radians and a radius of 5 cm is approximately 41.87 cm.