FInd the equation of the circle that satisfies the given con

FInd the equation of the circle that satisfies the given conditions. Center(-2,3) , tangent to the y-axis

Solution

Equation of circle is

(x-h)²+(y-k)²=r²

where center (h,k)=(-2,3)

and since it is tangent to y axis

therefore radius=x coordinate of center=2 (since radius cant be negative)

Therefore equation of circle is

(x+2)²+(y-3)² =4