Answer:
(x + 2)² + (y - 5)² = 13
Explanation:
equation of circle is (x - a)² + (y - b)² = r²
where a is x-coordinate of centre of circle, b is y-coordinate of centre of circle, r is the radius. radius = half of diameter.
(-2, 5) is centre.
radius = √((7 - 5)² + (1 - -2)²)
= √(4 + 9)
=√13
equation of our circle is (x - -2)² + (y - 5)² = (√13)²
(x + 2)² + (y - 5)² = 13