Answer:
(x - 2)^2 + (y - 2)^2 = 25.
Step-by-step explanation:
The diameter of the circle is √(5 - -1)^2 +(6 - -2)^2
= √(36 + 64)
= √100
= 10
So the radius is 10/2 = 5.
The centre of the circle is the midpoint of the diameter
= (-1+5)/2 , -2+6)/2
= (2, 2).
So the equation of the circle is
(x - a)^2 + (y - b)^2 = r^2 where r = radius and (a, b) is the centre is:
(x - 2)^2 + (y - 2)^2 = 25
