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In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π/5 radians. What is the arc length? Use 3.14 for π and round your final answer to the nearest hundredth. Make sure to
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In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π/5 radians.

What is the arc length?
Use 3.14 for π
and round your final answer to the nearest hundredth.
Make sure to show your calculations.

User Neoice
by
8.2k points

2 Answers

4 votes
360 degrees = 2 PI radians
Central angle = 1.8 PI radians

Central angle (degrees) = (1.8 / 2) * 360 = 324 degrees

circle circumference = 26.9 * 2 * PI = 169.0176847631
arc length = (324 / 360) * 169.0176847631
arc length = .9 * 169.0176847631
arc length = 152.1159162868 m


User Mcelik
by
8.1k points
4 votes

Answer:

152.04 For anybody that still needs the answer.

Explanation:

User Lukaszberwid
by
7.9k points
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