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2 years ago

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

Mathematics

1 answer:

jeka942 years ago

5 0

Answer:

69.6 ft

Step-by-step 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

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