# Intersection points of two curves

I have a curve given in polar coordinates with ($r = 2 +2\sin\theta$ for example) and one equation of simple circle (for example $x^{2}+y^{2} = 9$).How can i find intersection points?Since X Co-ordinate of the curve in polar coordinate is $x = r\cos\theta$ and for y, $y= r\sin\theta$, can someone give me a tip how do i find there intersection points? i have three equation.

• Turn the circle into a polar representation. Then equate the two curves. The solution from there is rather simple. – Demetri Pananos Oct 21 '16 at 20:47
• In that case i can easily find $r = 3$ and then if i am not wrong i have to set it equal to first equation $2 + 2\sin\theta$ = $3$ and solve it? – Khan Saab Oct 21 '16 at 20:58
• You will get two solutions, meaning the curves should intersect twice. – Demetri Pananos Oct 22 '16 at 20:26