What is the arc length when Θ = 2 pi over 3 and the radius is 8 cm?
\(\phi=\dfrac{2\pi}{3}\\ r=8 \text{ cm}\\ l=r\cdot\phi\\\\ l=8\cdot\dfrac{2\pi}{3}\\ l=\dfrac{16\pi}{3}\text{ cm}\)
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