Question

In circle O, a diameter has endpoints (-5, 4) and (3, -6). What is the length of the diameter?

Options:
A) 2√2
B) √10
C) 2√41
D) √2

Answer 1

The length of the diameter of the circle is 2√41.

Step-by-step explanation:

To find the length of a diameter of a circle, we can use the distance formula. The distance formula is given by:

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

Using the points (-5, 4) and (3, -6) as (x1, y1) and (x2, y2) respectively, we substitute these values into the formula:

d = sqrt((-5 - 3)^2 + (4 - (-6))^2)

d = sqrt((-8)^2 + (10)^2)

d = sqrt(64 + 100)

d = sqrt(164)

d = 2√41