find an equation for a circle with center 62 tangent touchin

find an equation for a circle with center (-6,2) tangent touching at one point to the y axis

standard equation of circle is given by

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

where h , k is the centre and r is the radius

when tangent is touching at one point on y axis

radius of the circle would be 6

hence plugging the values of centre and radius in the standard equation

(x+6)^2 + (y-2)^2 = 6^2

euation for circle is

(x+6)^2 + (y-2)^2 = 36