What is the approximate length of arc s on the circle below? 330 degrees central angle radius 12 feet

Question

What is the approximate length of arc s on the circle below? 330 degrees central angle radius 12 feet

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Parker 2 weeks 2021-09-09T12:40:56+00:00 1 Answer 0

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    0
    2021-09-09T12:42:40+00:00

    Answer:

    69.08\ ft

    Step-by-step explanation:

    step 1

    Find the circumference of the circle

    The circumference is equal to

    C=2\pi r

    we have

    r=12\ ft

    substitute

    C=2\pi (12)

    C=24\pi\ ft

    step 2

    Find the approximate length of arc s

    we know that

    The circumference of the circle subtends a central angle of 360 degrees

    so

    using proportion

    Find out the length of arc for a central angle of 330 degrees

    \frac{24\pi}{360}=\frac{x}{330}\\\\x=24\pi(330)/360

    x= 22\pi\ ft —-> exact value

    assume

    \pi =3.14

    22\pi\ ft=22(3.14)=69.08\ ft —-> approximate value

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