Points 5 1 and 1 7 are endpoints of the diameter of a circle

Points (–5, 1) and (–1, 7) are endpoints of the diameter of a circle.

(a) What is the exact length of the diameter?

(b) What is the center of the circle?

a) distance formula, D^2 = (x2 – x1)^2 + (y2 – y2)^2

D^2 = (-1 + 5)^2 + (7 - 1)^2 = 52

D = 7.2

b) Centre of circle =====> (h, k) = [(x1 + x2)/2, (y1 + y2)/2] = (-3, 4)

c) R = D/2 = 3.6

h = -3, k = 4

Equation of circle =======> (x - h)^2 + (y - k)^2 = R^2

(x + 3)^2 + (y - 4)^2 = 12.96