r= 5sin 0
r = 5 [ y/r ] multiply both sides by r
r^2 = 5y
x^2 + y^2 = 5y
x^2 + y^2 - 5y = 0 if we wish, we can put this in standard form by completing the sqaure on y
x^2 + (y - 5/2)^2 = 25/4
r= sin 0+ cos 0
r = y/r + x/r multiply through by r
r^2 = y + x
x^2 + y^2 = y + x
x^2 - x + y^2 - y = 0 complete the square on x and y
(x - 1/2)^2 + (y - 1/2)^2 = 1/2