Intersection points of two curves

I have a curve given in polar coordinates with (r=2+2sinθr = 2 +2\sin\theta for example) and one equation of simple circle (for example x2+y2=9x^{2}+y^{2} = 9 ).How can i find intersection points?Since X Co-ordinate of the curve in polar coordinate is x=rcosθx = r\cos\theta and for y, y=rsinθy= r\sin\theta, can someone give me a tip how do i find there intersection points? i have three equation.

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Turn the circle into a polar representation. Then equate the two curves. The solution from there is rather simple.
– Demetri P
2 days ago

  

 

In that case i can easily find r=3r = 3 and then if i am not wrong i have to set it equal to first equation 2+2sinθ2 + 2\sin\theta = 33 and solve it?
– Khan Saab
2 days ago

  

 

You will get two solutions, meaning the curves should intersect twice.
– Demetri P
yesterday

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