Question
8. 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
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Captionless Image
13.5
18.8
24.6
26.8
Answers
GPT 3.5
To find the length of segment AB, we can use the Pythagorean theorem.
Since OC is the radius of the circle, it is equal to 18. The distance from the center of the circle (O) to the edge of the circle (C) is 12.
Let AC = 18 and BC = 12. We can find the length of AB by using the Pythagorean theorem:
AB^2 = AC^2 - BC^2
AB^2 = 18^2 - 12^2
AB^2 = 324 - 144
AB^2 = 180
AB = sqrt(180)
AB ≈ 13.4164
Rounded to the nearest tenth, the length of segment AB is 13.5.
Therefore, the answer is 13.5.
Since OC is the radius of the circle, it is equal to 18. The distance from the center of the circle (O) to the edge of the circle (C) is 12.
Let AC = 18 and BC = 12. We can find the length of AB by using the Pythagorean theorem:
AB^2 = AC^2 - BC^2
AB^2 = 18^2 - 12^2
AB^2 = 324 - 144
AB^2 = 180
AB = sqrt(180)
AB ≈ 13.4164
Rounded to the nearest tenth, the length of segment AB is 13.5.
Therefore, the answer is 13.5.