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Advocard [28]
3 years ago
12

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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