1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Polar coords - Range of theta

  1. Jun 4, 2012 #1
    1. The problem statement, all variables and given/known data
    We have the circle [itex](x - 1)^2 + (y-2)^2 = 1[/itex]. Find the boundaries of θ and r.


    2. Relevant equations
    x = h + rcosθ
    y = k + rsinθ

    3. The attempt at a solution
    This is a circle with its origin at (1,2) and a radius of 1 so r is between 0 and 1 and the circle lies in the first quadrant but touches the x and y axis so theta is between 0 and pi/2

    Is this correct? Just curious

    edit: additional question: let's say I define y = 2 + rsinθ and x = 1 + rcosθ. Would this circle go from 0 to 2pi? (point of origin (1,2))
     
  2. jcsd
  3. Jun 4, 2012 #2

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Your comment in the edit is exactly how to set up the problem. You would put ##r = 1## to get the circle and ##0 \le r \le 1## to get the interior.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Polar coords - Range of theta
  1. Solving for theta (Replies: 12)

Loading...