Respuesta :

Answer:

The arc length is 16.76 cm.

Step-by-step explanation:

Given that,

Arc length = l = ?

Angle = theta = [tex]\frac{2\pi}{3}[/tex]

Radius = r = 8 cm

The relation between the arc length (l), angle (theta) and radius (r) is calculated using [tex]l = r * \theta[/tex]

By putting values in the above relation, we get

[tex]l = \frac{2\pi}{3} * 8[/tex]

l ≈ 16.76 cm

Therefore, the arc length is 16.76 cm.

Answer: The measure of arc length = 16.74

Step-by-step explanation:

Since we have given that

Angle = [tex]\dfrac{2\pi }{3}[/tex]

Radius = 8 cm

We need to find the arc length.

As we know the formula for "Arc length":

[tex]l=r\theta\\\\l=8\times \dfrac{2\pi }{3}\\\\l=8\times \frac{2\times 3.14}{3}\\\\l=16.74[/tex]

Hence, the measure of arc length = 16.74