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

User Bhargav Thanki
by
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1 Answer

10 votes
10 votes

Answer:

radius = 12 cm

Explanation:

al - Arc Length


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

r - Radius


al \: = 8\pi \: cm


\alpha \: = (2\pi)/(3)


al \: = \alpha * r


r \: = (al)/( \alpha )


r = (8\pi)/(( (2\pi)/(3) ))


r = 12 \: cm

User Pi Horse
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