Chris N.

# Find a parameterization for a circle

Find a parameterization for the circle (x-10)^(2) + y^(2)= 25 starting at the point (5,0) and moving clockwise once around the​ circle, using the central angle θ in the figure to the right as the parameter.

x=____ y=____ , 0 ≤ θ ≤ 2pi

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Chris N.

I tried that before and it says the equation for x is wrong. "Your second answer is​ correct, but your first answer is incorrect. The equation of a circle with radius r and center​ (h,k) is (x-h)^2 + (y-k)^2 = r^2. Determine the relationship between x and y in terms of theta. Use this relationship to write the equation of the circle in terms of x and theta, and then in terms of y and theta in order to find the parametric equations for the​ particle's motion."
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07/25/21

Julia S.

I reread the problem (I think I got ahead of myself). It requests that you start at (5,0) and move clockwise for 2 theta. In order to start at theta = 0 at the point (5,0), the equation for x would be: x = 5cos(theta) This gives you a value of x = 5 for theta = 0. The original equation works only if you start at (15,0). Please try that and let me know how it goes!
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07/25/21

Chris N.

the answer is x=10-5cos(theta). Thanks for the help
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07/26/21

Julia S.

Gotcha - I apologize I couldn’t get you there.
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07/26/21

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