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garik1379 [7]
2 years ago
5

in the circle, an arc length 8pi cm is intercepted by acentral angle of 2pi/3 radians. what is the radius of the circle

Mathematics
1 answer:
miss Akunina [59]2 years ago
5 0

Answer:

radius = 12 cm

Step-by-step explanation:

al - <em>Arc Length</em>

\alpha  \:  - Central \: Angle ( in   \:  \: radians)

r - <em>Radius</em>

al \:  = 8\pi \: cm

\alpha  \:  =  \frac{2\pi}{3}

al \:  =  \alpha  \times r

r \:  =  \frac{al}{ \alpha }

r =  \frac{8\pi}{( \frac{2\pi}{3} )}

r = 12 \: cm

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