Question

R=2sinθ to rectangular form

Answer 1

\[r=2\sin\theta\\
r^2=2r\sin\theta\\
x^2+y^2=2y\\
x^2+y^2-2y=0\\
x^2+(y-1)^2=1\]

Answer 2

Is "r^2" always equal to x^2 + y^2?

Answer 3

Yes, it is when we're dealing with polar and rectangular coordinates.