Respuesta :

Answer:

Option (4)

Step-by-step explanation:

m(∠PZR) = [tex]\frac{2}{3}\pi[/tex]

Radius of the circle = 8

Since, length of an arc = [tex]\frac{\theta}{2\pi }(2\pi r)[/tex]

Here, θ = Central angle in radians

From the given formula,

m(arc PR) = [tex]\frac{\frac{2}{3}\pi}{2\pi }(2\pi \times 8)[/tex]

                = [tex]\frac{2}{6}(16\pi )[/tex]

                = [tex]\frac{16}{3}\pi[/tex]

Therefore, Option (4) will be the correct option.