Answer:
x²+(y-5)²=25
Step-by-step explanation:
To convert polar into rectagular
[tex]->r=\sqrt{x^2+y^2} =>r^2=x^2+y^2\\[/tex]
also, y=rsin θ => sin θ=y/r
r= 10sinθ
r=[tex]\frac{10y}{r}[/tex] => r²=10y
therefore, x²+y²-10y=0
By completing the squares on y²-10y gives
x²+(y-5)²=25
which is the equation of the circle.
This is the Cartesian equation of a circle with center (
0,
5)
and radius, r=5
