replace the following polar equation r^2 =4sin theta

Question

converting polars

Answer 1

If (r,θ) is polar coordinates,(x,y) cartisian coordinates.

then x^2+y^2 = r^2

x = r cosθ

y = r sinθ

sinθ = y/r

Given r^2 = 4sinθ

x^2+y^2 = 4*y/r

x^2+y^2 = 4y/r

Comments

Substitute r = √(x^2+y^2 )

x² + y²- 4y/√(x² + y²) = 0