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3 years ago

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

Mathematics

2 answers:

vivado [14]3 years ago

7 0

$\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}
$

user100 [1]3 years ago

7 0

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

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