If (−4, 11) and (−6, 5) are the endpoints of a diameter of a circle, what is the equation of the circle?

A) (x + 5)^2 + (y − 8)^2 = 100
B) (x + 5)^2 + (y − 8)^2 = 10
C) (x − 5)^2 − (y + 8)^2 = 10
D) (x − 5)^2 + (y + 10)^2 = 8

A.

Step-by-step explanation:

1. The standard form of the equation of a circle is

2. To find the center we require the  midpoint   of the  2 given points

center =

=(-5,8)

3. The radius is the distance from the centre to either of  the 2 given points calculate the radius using the  distance formula

d=

let and

r=

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the answer to this question is in the pic