Find the center and the radius of the circle 9x2+9y2−2y=0
Answer:
(0,19) and 19
- The equation of a circle with center at (a,b) and radius r is given by
(x−a)2+(y−b)2=r2 - The given equation is
- Completing the squares within the parentheses
- On comparing eq with the standard form of the equation of the circle, we get,
and
Hence, the center of the circle is and the radius of the circle is .