Question

how to convert rectangular to polar?
x²=y(8-y)​

Answer 1

Answer:

The Polar form  is  r = 8sin θ

Step-by-step explanation:

Explanation:-

• The Polar co-ordinate system is a two - dimensional co-ordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction.
• The reference point is called the pole
• The ray from the pole in the reference direction is the polar axis

Polar co-ordinates

              x = r cos θ    and      

               y=r sin θ      

now       $x^{2} +y^{2} = r^{2}$

               tan θ = $\frac{y}{x}$

Now given equation x²=y(8-y)​

                                  $x^{2} = 8y-y^{2}$

                                  $x^{2} +y^{2} = 8y$   ...(i)

now The equation(i)  convert to polar

                                      r² = 8(r sin θ)

                                      r = 8sin θ

Conclusion:-

The Polar form is  r = 8sin θ