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Find the arc length of the remaining portion if the bolded section was cut out of the circle. Round to the nearest tenth.

Find the arc length of the remaining portion if the bolded section was cut out of-example-1

1 Answer

7 votes

Answer:

69.6 ft

Explanation:

The arc length can be found as a fraction of the circumference. That fraction is the ratio of the central angle measure to the measure for the whole circle.

__

Central angle of remaining arc:

360° -150° = 210°

Fraction of full circumference:

210°/360° = 7/12

The circumference of the circle is ...

C = 2πr = 2π(19 ft) = 38π ft.

Then the length of the remaining arc is ...

(7/12)(38π) ft ≈ 69.6 ft

User Alexandru Cosoi
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