Adiameter of a circle has endpoints of (-5,6) and (-5,-2) what is the equation of this circle?

(x + 5)² + (y - 2)² = 16


Find Diameter 

Diameter = 6 - (-2) = 8 


Find Radius

Radius = Diameter ÷ 2
Radius = 8 ÷ 2 
Radius = 4


Find centre of the circle

x coordinate = -5, 
y coordinate = 6 - 4 = 2
Centre of the circle = (-5, 2)


Formula for Equation of the circle

(x – h)² + (y – k)² = r²


Equation of the circle

(x + 5)² + (y - 2)² = 4²
(x + 5)² + (y - 2)² = 16


(x + 5)² + (y - 2)² = 16