Question

Points (–6, 5) and (2, 1) are endpoints of the diameter of a

circle
(a) What is the exact length of the diameter? (Simplify as much
as possible)
(b) What is the center of the circle?
(c) What is the

Answer 1

a) Diameter √80

b) Center (-2, 3)

Explanation:

First you need to know:

1) Distance Formula

d = \sqrt{(y2 - y1)^2 + (x2 - x1)^2}

2) Midpoint Formula

M = {(x1 + x2)/2, (y1 + y2)/2}

Step 1 : What is the exact length of the diameter?

Find the distance between the points using distance formula, and you get:

d = √80

Step 2 : What is the center of the circle?

Find the midpoint between the points using the midpoint formula:

M = (-2 , 3)

Step 3: Final Answer

a) Diameter √80

b) Center (-2, 3)