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Answer :
The equation of circle F is given by
[tex]$$
(x+6)^2 + (y+8)^2 = 9.
$$[/tex]
This is in the standard form of a circle's equation:
[tex]$$
(x-h)^2 + (y-k)^2 = r^2,
$$[/tex]
where [tex]$(h, k)$[/tex] represents the center of the circle and [tex]$r$[/tex] is the radius. From our equation, we have:
[tex]$$
r^2 = 9.
$$[/tex]
To find the radius [tex]$r$[/tex], we take the square root of both sides:
[tex]$$
r = \sqrt{9} = 3.
$$[/tex]
Thus, the length of the radius of circle F is [tex]$\boxed{3}$[/tex].
[tex]$$
(x+6)^2 + (y+8)^2 = 9.
$$[/tex]
This is in the standard form of a circle's equation:
[tex]$$
(x-h)^2 + (y-k)^2 = r^2,
$$[/tex]
where [tex]$(h, k)$[/tex] represents the center of the circle and [tex]$r$[/tex] is the radius. From our equation, we have:
[tex]$$
r^2 = 9.
$$[/tex]
To find the radius [tex]$r$[/tex], we take the square root of both sides:
[tex]$$
r = \sqrt{9} = 3.
$$[/tex]
Thus, the length of the radius of circle F is [tex]$\boxed{3}$[/tex].
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