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12 November, 08:49

A circle has a circumference of 12. t has an arc of length 8/5. What is the central angle of the arc, in degrees?

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  1. 12 November, 12:23
    0
    Answer:45.9

    Step-by-step explanation:

    Circumference=12

    Length of arc=8/5=1.6

    π=3.14

    Circumference=2 x π x r

    12=2x3.14xr

    12=6.28 x r

    Divide both sides by 6.28

    12/6.28 = (6.28 x r) / 6.28

    2=r

    r=2

    Length of arc = Φ/360 x 2 x π x r

    1.6=Φ/360 x 2 x 3.14 x 2

    1.6 = (Φ x 2 x 3.14 x2) / 360

    1.6=12.56Φ/360

    Cross multiply

    1.6x360=12.56Φ

    576=12.56Φ

    Divide both sides by 12.56

    576/12.56=12.56Φ/12.56

    45.9=Φ

    Φ=45.9
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