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Answer: The radius is 1/4 units.
Work:
To solve for the radius when given an arc and a central angle, we can use the formula for arc length.
s = rθ
Where:
s = arc length
r = radius
θ = central angle
Since we already have the arc length and central angle, we can rearrange the equation to solve for the radius.
It becomes:
s/θ = r
Substitute our values in and solve.
(π/6)/(2π/3) = r
r = 1/4 units