Answer:
Length of the diameter of the circle = 10 units long
Step-by-step explanation:
Given points A (0, -7) and B (8, -1):
We can determine the diameter of the circle by solving for the distance between the two given points.
We'll use the following distance formula:
[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]
Let [tex](x_{1}, y_{1})[/tex] = (0, -7)
[tex](x_{2}, y_{2})[/tex] = (8, -1)
Plug in these values into the distance formula
[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]
[tex]d = \sqrt{(8 - 0)^{2} + (-1 - (-7))^{2} }[/tex]
[tex]d = \sqrt{(8)^{2} + (-1 + 7)^{2} }[/tex]
[tex]d = \sqrt{(8)^{2} + (6)^{2} }[/tex]
[tex]d = \sqrt{64 + 36}[/tex]
[tex]d = \sqrt{100}[/tex]
d = 10
Therefore, the distance between points A and B is 10 units long.
