Question

The equation of circle with center $(2,3)$ and radius $5$ units is

Answer 1

The equation of circle with center $(h,k)$ and radius $r$ units is

$(x-h{)}^2+(y-k{)}^2=r^2$

The equation of the circle with center $(2,3)$ and radius $5$ units is

$\Rightarrow (x-2{)}^2+(y-3{)}^2=5^2$

$\Rightarrow x^2-4x+4+y^2-6y+9=25$

$\Rightarrow x^2+y^2-4x-6y-12=0$