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A circle has a circumference of 18. It has an arc of length 6. What is the central angle of the arc, in degrees?
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A circle has a circumference of 18. It has an arc of length 6. What is the central angle of the arc, in degrees?

User Sesamechicken
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2 Answers

3 votes

Answer:

120 degrees

Explanation:

A circle has a circumference of 18. It has an arc of length 6. What is the central-example-1
User Mehmetx
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6.6k points
2 votes
Circumference: 2πr C=18 so r= 18/2π= 9π

Arc length = rθ 6=(9π)θ θ=6/9π

Convert to degrees by multiplying by 180/π

6/9π x 180/π = 120 degrees
User Teemu Leisti
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7.1k points
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