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A circle has a radius of 48 millimeters.


What is the length of the arc intercepted by a central angle that measures 3π/4 radians?


Express the answer in terms of π .

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Answer:

36π mm

Step-by-step explanation:

The arc length formula is s = rФ, where Ф is the central angle (in radians).

If r = 48 mm and Ф = 3π/4, then the arc length is:

s = rФ = (48 mm)(3π/4) = 36π mm

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