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

Question

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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Nevaeh 4 weeks 2021-12-30T22:40:42+00:00 1 Answer 0 views 0

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    2021-12-30T22:42:08+00:00

    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

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