What is the length of the arc by a central angle of 85 degrees and a radius of 8cm to the nearest tenth of a cm?

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Answer:
11.9 cm
Step-by-step explanation:
Arc length is given by ...
s = rθ . . . . . . θ is the central angle in radians
Your central angle is 85°, so is (85/180)π radians = 17/36π radians.
Then the arc length is ...
s = (8 cm)(17/36π) ≈ 11.9 cm
The length of the 85° arc is about 11.9 cm.