To find the length of segment AB, we first need to find the length of AC.
We can use the Pythagorean theorem since triangle ACO is a right triangle.
AC^2 = AO^2 - OC^2
AC^2 = 18^2 - 12^2
AC^2 = 324 - 144
AC^2 = 180
AC = √180
AC = 3√20
AC ≈ 13.4
Since AC is the diameter of circle O, segment AB is also equal to AC.
Therefore, the length of segment AB is approximately 13.4, which rounds to 13.5 to the nearest tenth.
So, the correct answer is 13.5.
The radius of circle O is 18 and OC = 12. The diagram is not drawn to scale. What is the length of segment AB? Round the answer to the nearest tenth.
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Captionless Image
13.5
18.8
24.6
26.8
1 answer