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Math Help - Finding the length of an arc

  1. #1
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    Finding the length of an arc

    Hi, just wanted to make sure that I am doing this correctly? Can someone please help me with Finding the length of an arc if the radius is 10" and the central angle is 45 deg. I need to find the answer in terms of pie. Thanks!

    Also, I need to find a positive co-terminal angle for 120 deg. and one for pie/5
    and a negative co-terminal angle for 420 deg. and one for 3 pie/5

    can someone verify what the complement of angle of 20 deg is. and the supplement of an angle of 3pie / 5

    How do I change a the following into decimal form? 23 deg. 30' 15"

    THANK YOU VERY MUCH
    Last edited by MathGuru; June 19th 2005 at 09:20 AM.
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  2. #2
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    arc length give radius and angle

    Welcom Justardms,

    Just a note of advice, try to keep questions to a minimum of 1 or 2 per post as you will get better results. In keeping with my advice I will answer your first question only

    To find the arc length you can use the equation s=r\theta

    where s = arc length, r = radius, and \theta = angle in radians

    so

    s = 10"(45*\frac{\pi}{180})
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  3. #3
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    Is this correct?

    So is the answer 10pie/4 ? First I have to convert deg. in to rads? correct? which is pie / 4 and then mutiple that by 10? correct? So the Arc lenght is 10 pie / 4? Or would you write 10 times pie / 4? Does it matter!?!?!?! THANKS and thanks for the tip about how to submit questions!
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  4. #4
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    Since it is 10 inches * pie / 4, I am just not sure how I would write that? Thanks again
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  5. #5
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    pi or 3.14

    you can either answer with \frac{10\pi}{4}inches = \frac{5\pi}{2}inches or substitue 3.14 for pi and multiply it out to get the answer in inches.
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