3 years ago

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?

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

8 0

9514 1404 393

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.

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