Answer:
(x + 3)² + (y + 10)² = 144
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
here (h, k ) = (- 3, - 10 ) and d = 24, then r = 24 ÷ 2 = 12
(x - (- 3) )² + (y - (- 10) )² = 12² , that is
(x + 3)² + (y + 10)² = 144