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Math Help - Writing a formula from a circle and triangle

  1. #1
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    Exclamation Writing a formula from a circle and triangle



    I need help with part a. I don't understand how to write the formula. Please explain and show to me step by step on how to do this problem. Thanks.
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  2. #2
    Senior Member Stroodle's Avatar
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    To find d you can use pythagorus' theorem. The hypotenuse is x+r, and the other side is r. Then note that \theta=tan^{-1}\left ( \frac{d}{r} \right ).
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  3. #3
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    What about theta in that formula? How would I find out what that is in order to find d?
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  4. #4
    Senior Member Stroodle's Avatar
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    It's asking for d in terms of x and r. You don't need theta for this part of the question:

    d=\sqrt{(x+r)^2-r^2}

    You can simplify this formula.
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