How do you convert #(x-2)^2 + (y-3)^2 = 1# into a polar equation? Trigonometry The Polar System Converting Between Systems 1 Answer Cesareo R. May 13, 2016 #r^2-2(2 cos(theta)+3 sin(theta))r+12=0# Explanation: The pass relationships #x=r cos(theta),y=r sin(theta)# substituted in the cartesian circunference representation, gives: #(r cos(theta)-2)^2+(r sin(theta)-3)^2=1#. Simplifiying #r^2-2(2 cos(theta)+3 sin(theta))r+12=0# Answer link Related questions How do you convert rectangular coordinates to polar coordinates? When is it easier to use the polar form of an equation or a rectangular form of an equation? How do you write #r = 4 \cos \theta # into rectangular form? What is the rectangular form of #r = 3 \csc \theta #? What is the polar form of # x^2 + y^2 = 2x#? How do you convert #r \sin^2 \theta =3 \cos \theta# into rectangular form? How do you convert from 300 degrees to radians? How do you convert the polar equation #10 sin(θ)# to the rectangular form? How do you convert the rectangular equation to polar form x=4? How do you find the cartesian graph of #r cos(θ) = 9#? See all questions in Converting Between Systems Impact of this question 2618 views around the world You can reuse this answer Creative Commons License