to find the equation of a circle with center (2,-6); tangent to the y-axis

Find the equation of the circle with center(2,-6) and tangential to the y-axis.

Since the y-axis is a tangent to the circle,
radius of the circle,r =|x-coordinate of the centre| = 2

equation of the circle is

(x-2)² +(y+6)² = 2²


formulae on circles



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