Question

What is the arc length when Θ = 2 pi over 3 and the radius is 8 cm?

Answer 1

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

Answer 2

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