Chris N.

asked • 07/25/21

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

1 Expert Answer

By:

Julia S. answered • 07/25/21

Tutor
New to Wyzant

Calculus Made Manageable

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."
Report

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!
Report

07/25/21

Chris N.

the answer is x=10-5cos(theta). Thanks for the help
Report

07/26/21

Julia S.

Gotcha - I apologize I couldn’t get you there.
Report

07/26/21

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.