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