Answer:B. √2
Explanation:
The endpoints given are (11,4) and (10,5)
Since the end points are on the circle, then the diameter of the circle is the distance between the two end points.
Recall that the distance, d, between any two points (x1 , y1 ) and (x2 , y2 ) is given by the following formula:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
From the information given,
y1 = 4
y2 = 5
x1 = 11
x2 = 10
Substituting into d = √[(x2 - x1)^2 + (y2 - y1)^2], it becomes
d = √[(10 - 11)^2 + (5 - 4)^2]
d = √-1^2 + 1^2
d = √1+1 = √2