Answer:
(x + 4)^2 + (y - 1)^2 = 61.
Step-by-step explanation:
We need to find the square of the radius and the coordinates of the center.
Center = (-10 + 2)/2 , (-4 + 6)/2
= (-4, 1).
Length of the diameter
= √((-10-2)^2 + (-4-6)^2)
= √(144 + 100)
=√244
So the radius = √244/2
and r^2 = 244/4 = 61,
So the equation of this circle is:
(x - (-4)^2 + (y - 1)^2 = 61
(x + 4)^2 + (y - 1)^2 = 61.
