Final answer:
The diameter of the circle with endpoints (3,6) and (-7,2) is approximately 10.77 units.
Step-by-step explanation:
The diameter of a circle can be found by using the endpoint coordinates of the diameter. The formula to find the distance between two points is:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Using the coordinates (3,6) and (-7,2), we can substitute these values into the formula to find the diameter:
d = √((-7 - 3)^2 + (2 - 6)^2) = √((-10)^2 + (-4)^2) = √(100 + 16) = √116 ≈ 10.77
Therefore, the diameter of the circle is approximately 10.77 units.