- #1
Jonmundsson
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Homework Statement
We have the circle [itex](x - 1)^2 + (y-2)^2 = 1[/itex]. Find the boundaries of θ and r.
Homework Equations
x = h + rcosθ
y = k + rsinθ
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))