Answer:
A
Step-by-step 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) = (5, 7) and r = 2 ⇒ r² = 4, hence
(x - 5)² + (y - 7)² = 4 → A
The equation of a circle with a center (a, b) and a radius r:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
We have the center (5, 7) → a = 5, b = 7, and the radius r = 2.
Substitute:
[tex](x-5)^2+(y-7)^2=2^2\\\\\boxed{(x-5)^2+(y-7)^2=4\to A.}[/tex]
