The equation of a circle with center (a,b) and radius r is:
(x - a)^2 + ( y -b)^2 = r^2
The center of the circle graphed is (3,4).
And the radius may be calculated using the distance formula and the points (0,0) and (3,4)
r^2 = (3 - 0)^2 + (4 - 0)^2 = 9 + 16 = 25
=> (x - 3)^2 + (y - 4)^2 = 25
Which is likely the option D, but you made a mistake when wrote the numbers.
Answer: (x - 3)^2 + (y - 4)^2 = 25
