Verified Answer :

\(\phi=\dfrac{2\pi}{3}\\ r=8 \text{ cm}\\ l=r\cdot\phi\\\\ l=8\cdot\dfrac{2\pi}{3}\\ l=\dfrac{16\pi}{3}\text{ cm}\)

Answer:

Arc length = Arc length = \(\frac{16\ pi}{3}\) = 16 .74 cm

Step-by-step explanation:

Given  :  when Θ = 2 pi over 3 and the radius is 8 cm.

To find  : What is the arc length .

Solution : WE have given that Θ = \(\frac{2\ pi}{3}\)

Radius = 8 cm .

Arc length =radius  angle

Arc length = 8  \(\frac{2\ pi}{3}\).

Arc length =  \(\frac{16\ pi}{3}\).

Therefore, Arc length = \(\frac{16\ pi}{3}\) = 16 .74 cm