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Math Help - Angles and Radian Measures

  1. #1
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    Angles and Radian Measures

    I tried to find some help online but I havent found any yet. :[
    How do you find the radius of a circle if an arc is 14.2 cm long and is intercepted by a central angle of 60 degrees.

    I know the formula for it when there is a radius. But since there isnt i have no clue. Please help!
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  2. #2
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    What is the formula you are using?
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  3. #3
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    try r=s/central angle other words radius equals arc length divided by central angle
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    Hello,
    Quote Originally Posted by topaz192 View Post
    I tried to find some help online but I havent found any yet. :[
    How do you find the radius of a circle if an arc is 14.2 cm long and is intercepted by a central angle of 60 degrees.

    I know the formula for it when there is a radius. But since there isnt i have no clue. Please help!
    Angles and Radian Measures-cercle.jpg
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  5. #5
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    Quote Originally Posted by topaz192 View Post
    I tried to find some help online but I havent found any yet. :[
    How do you find the radius of a circle if an arc is 14.2 cm long and is intercepted by a central angle of 60 degrees.

    I know the formula for it when there is a radius. But since there isnt i have no clue. Please help!
    arc a=14.2 cm
    angle \theta=60

    \theta=60.\frac{\pi}{180}\;radian

    \theta=1.0472\;radian

    a=r.\theta

    r=\frac{a}{\theta}

    r=\frac{14.2}{1.0472}

    r=13.56 cm
    Last edited by Shyam; September 3rd 2008 at 07:15 PM.
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