Answer:
B
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 centre is at the midpoint of the diameter ⇒ (2, 5)
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
with (x₁, y₁ ) = (- 3, - 7) and (x₂, y₂ ) = (2, 5)
r =
=
=
= 13
(x - 2)² + (y - 5)² = 13²
(x - 2)² + (y - 5)² = 169 → B