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B Relation between ##d## and ##\theta##

  1. Jun 25, 2017 #1
    I wish to find a closed form relation between ##\theta## and ##d## in the attached figure as a function of ##r##, the radius of the circle and ##s## the distance from the point ##p## to the center.
    Thank you.
    circle.png
     
  2. jcsd
  3. Jun 25, 2017 #2

    berkeman

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    Staff: Mentor

    Can you please show your work so far? What part are you having trouble with?

    Is this question for schoolwork?
     
  4. Jun 25, 2017 #3
    Just right now, I had insight for how to solve it :)
    ##s^2=r^2+d^2+2 d r cos (a)##
    But ##a+\theta=\pi/2##.
    ##s^2=r^2+d^2+2 d r cos (\pi/2 -\theta)##
    rearranding, gives a relation between ##d## and ##\theta##.
    circle.png
     
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