Answer:
Radius, r = 4 units
Step-by-step explanation:
The equation of circle is given by :
[tex]x^2+y^2-10x+6y+18=0[/tex]
We need to find the radius of the circle.
The general equation of a circle is given by :
[tex](x-h)^2+(y-k)^2=r^2[/tex] ....(1)
We can rearrange the above equation in terms of the given equation as follows :
[tex]x^2+y^2-10x+6y+18-25-9+25+9=0\\\\(x^2-10x+25)+(y^2+6y+9)+18-25-9=0\\\\(x-5)^2+(y-(-3))^2=(4)^2[/tex]
On comparing the above equation with equation (1)
h = 5, k = -3 and r = 4
So, the radius of the circle is 4 units.
