If the endpoints of the diameter of a circle are (3, 1) and (6, 5), find the length of the diameter.
I can verify that the answer you worked out (5) is correct.
To find the length of the diameter of a circle, you can use the distance formula.
The distance formula is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Given the endpoints of the diameter: (3, 1) and (6, 5), we can substitute these values into the distance formula.
x1 = 3, y1 = 1
x2 = 6, y2 = 5
d = sqrt((6 - 3)^2 + (5 - 1)^2)
= sqrt(3^2 + 4^2)
= sqrt(9 + 16)
= sqrt(25)
= 5
Therefore, the length of the diameter of the circle is 5 units.
To find the length of the diameter of a circle given the coordinates of its endpoints, we can use the distance formula.
The distance formula is given by:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's label the coordinates of the first endpoint as (x1, y1) = (3, 1), and the second endpoint as (x2, y2) = (6, 5).
Plugging these values into the distance formula, we have:
Distance = sqrt((6 - 3)^2 + (5 - 1)^2)
= sqrt(3^2 + 4^2)
= sqrt(9 + 16)
= sqrt(25)
= 5
Therefore, the length of the diameter of the circle is 5 units.