Answer
center
Work Step by Step
Circles are conic sections where the set of points on a plane are at a fixed distance r called the radius from a fixed point called the center.
The center of the circle is denoted by $\left( h,k \right)$.
The standard form of the equation of the circle centered at $\left( h,k \right)$ with the radius r is defined as,
${{\left( x-h \right)}^{2}}+{{\left( y-k \right)}^{2}}={{r}^{2}}$
So, the point $\left( h,k \right)$ represents the center of the circle.
The correct option for the blanks is “center”.
