a circle is a plane figure consisting of all points equidistant from a fixed point called
center
the distance of the points from the center is called
the radius
a point P(x,y) is on this circle if and only if
r = √(x-h)²+(y-k)²
standard form of the equation of a circle of a radius r and center (h,k)
(x-h)²+(y-k)²=r²