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Math Help - Arc Length

  1. #1
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    Arc Length

    Find the length of an arc of degree measure 30 in a circle with an 8 meter radius. Put answer in exact form.

    \frac{30\;\pi\;(16)}{360}

    =4.188790205

    \frac{4.188790205\cdot180}{\pi}

    =240\;degrees

    240\;degrees\;=\;\frac{4\;\pi}{3}\;meters

    Is this the correct answer?
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  2. #2
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    Quote Originally Posted by OzzMan View Post
    Find the length of an arc of degree measure 30 in a circle with an 8 meter radius. Put answer in exact form.

    \frac{30\;\pi\;(16)}{360}

    =4.188790205

    \frac{4.188790205\cdot180}{\pi}

    =240\;degrees

    240\;degrees\;=\;\frac{4\;\pi}{3}\;meters

    Is this the correct answer?
    Line 1: Arc length = r \, \theta where \theta is measured in radians.

    Line 2: r = 8 and \theta = \frac{\pi}{6}.

    Line 3: Answer.

    So yes, your answer is correct but you've taken the scenic route to get there.
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