Answer:
(x - 3)² + (y + 3)² = 9
Explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
the radius r is the distance from the centre to a point on the circle.
given (3, - 3 ) is the centre and (3, 0 ) is a point on the circle
since the x- coordinates of both points are 3 then r is the absolute value of the difference of the y- coordinates, that is
r = | - 3 - 0 | = | - 3 | = 3
then equation of circle is
(x - 3)² + (y - (- 3) )² = 3² , that is
(x - 3)² + (y + 3)² = 9