Answer:
The Length of a segment drawn from C tangent to circle O is
AC = x = 9 units
Step-by-step explanation:
Given data
From the Δ OAC
Radius of circle OA = 8 units
OC = 12 units
AC = Length of a segment drawn from C tangent to circle O = x
We know that in Δ OAC
[tex]OC^{2} = OA^{2} + AC^{2}[/tex]
[tex]12^{2} = 8^{2} + x^{2}[/tex]
[tex]x^{2} = 144 - 64[/tex]
[tex]x^{2} = 80[/tex]
x = 8.9 units ≈ 9 units
Therefore Length of a segment drawn from C tangent to circle O is
AC = x = 9 units
