Given:
The equation of a circle is:
To find:
The center of the circle and its radius.
Solution:
The standard form of a circle is:
...(i)
Where, (h,k) is center and r is the radius of the circle.
The given equation of the circle is:
Write the given equation in standard form of a circle.
On further simplification, we get
...(ii)
On comparing (i) and (ii), we get
Therefore, the center of the circle is (0.5,1) and radius is 2 units.