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Math Help - Given radius and angle, how to find a point on a circumference.

  1. #1
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    Given radius and angle, how to find a point on a circumference.

    Hi Everyone,

    I'm writing a computer game that requires me to find a set of x,y co-ordinates given the radius and angle.

    Its been a few years since I was doing any kind of maths, I tried looking up on the web what would work, and came across Euclid which rang a bell, but wasnt sure if that was exactly what I needed.

    Any help would be greatly appreciated.
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  2. #2
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    Quote Originally Posted by andrew2110 View Post
    Hi Everyone,

    I'm writing a computer game that requires me to find a set of x,y co-ordinates given the radius and angle.

    ...
    Let C denote the center of the circle which has the coordinates C\left(x_C, y_C\right)

    Let r denote the radius of the circle.

    Then any arbitrary point P on the circle line has the coordinates:

    P\left(x_C + r \cdot \cos(\alpha)\ , \ y_C + r \cdot \sin(\alpha) \right)
    Attached Thumbnails Attached Thumbnails Given radius and angle, how to find a point on a circumference.-koord_krspkt.gif  
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  3. #3
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    brilliant, thanks very much for your help!
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