Which of the following is the equation for a circle with a diameter that has endpoints at (2, 10) and (10,6)? A.(x + 6)2 + (y + 8)2 = 80
B.(x - 6)2 + (y - 3)2 = 80
C.(x + 6)2 + (y + 8)2 = 20
D(x - 6)2 + (y - 3)2 = 20

Step-by-step explanation:

Find the center, the midpoint of the ends of the diameter.

Use midpoint formula for each coordinate:

Find the square of the radius using distance formula between points:

Use the equation of circle:

We know that (h, k) is the center (6, 8), substitute into above equation: