Answer:
x² + y² - 4x - 6y - 3 = 0
Explanation:
Formula for equation of circle when the radius r and centre (a,b) is given:
(x-a)² + (y-b)² = r²
(x-2)² + (y-3)² = 4²
Expanding the brackets;
x² - 4x + 4 + y² - 6x + 9 = 16
x² + y² - 4x - 6x + 4 + 9 = 16
x² + y² - 4x - 6x + 13 = 16
x² + y² - 4x - 6x + 13 - 16 = 0
x² + y² - 4x - 6x - 3 = 0 Ans.