Answer:
(x + 4)² + (y + 6)² = 64
Step-by-step explanation:
The standard form of equation of a circle is given as;
(x - a)² + (y - b)² = r²
Where;
a and b are the centre coordinates and r is the radius.
First of all, let's Calculate the midpoint coordinates.
This gives;
((-4 + (-4))/2), (2 + (-14))/2)
This is now (-4, -6)
Distance of radius is;
r = √((-4 - (-4))² + (-6 - 2)²)
r = 8
Equation of circle is now;
(x - (-4))² + (y - (-6))² = 8²
This gives;
(x + 4)² + (y + 6)² = 64
