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4 votes
SAT/ACT An arc has a central angle of

radians and a length of 6. What is the
circumference of the circle?
A 12T
B 15T
30T
D 36л

1 Answer

4 votes

Answer: D 36л

Explanation:

s = θr

where r is the radius of the circle. given that the arc length is 6, and the central angle is π/3 radians r:

6 = (π/3)r

r = 6/(π/3) = 18/π

the circumference of the circle is given by:

C = 2πr

Substituting r = 18/π, we get:C = 2π(18/π) = 36

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