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What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth.

-5.8 ft
-6.3 ft
-27.5 ft
-69.1 ft

What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round-example-1

2 Answers

3 votes

Answer:D

Explanation:

User Brian Attwell
by
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3 votes

9514 1404 393

Answer:

69.1 ft

Explanation:

The diameter of the circle is 24 ft. The length of the arc is more than twice the diameter, so cannot be less than about 50 ft. The only reasonable choice is ...

69.1 ft

__

The circumference of the circle is ...

C = 2πr = 2(3.14)(12 ft) = 75.36 ft

The arc length of interest is 330° of the 360° circle, so is 330/360 = 11/12 times the circumference.

s = (11/12)(75.36 ft) = 69.08 ft ≈ 69.1 ft

User Mcompeau
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3.1k points