Question
The radius of circle O is 42, and OC = 15. The diagram is not drawn to scale. What is the length of segment AB? Round the answer to the nearest tenth. (1 point) Responses 29.2 29.2 39.2 39.2 58.5 58.5 78.5
Answers
Answered by
GPT 3.5
To find the length of segment AB, we must first calculate the length of segment AC using the Pythagorean theorem.
AC = √(OA^2 - OC^2)
AC = √(42^2 - 15^2)
AC = √(1764 - 225)
AC = √1539
AC ≈ 39.2
Since AC is the diameter of the circle, segment AB is half the length of the diameter:
AB = AC/2
AB = 39.2/2
AB = 19.6
Therefore, the length of segment AB is approximately 19.6. Rounding to the nearest tenth, the answer is 19.6.
AC = √(OA^2 - OC^2)
AC = √(42^2 - 15^2)
AC = √(1764 - 225)
AC = √1539
AC ≈ 39.2
Since AC is the diameter of the circle, segment AB is half the length of the diameter:
AB = AC/2
AB = 39.2/2
AB = 19.6
Therefore, the length of segment AB is approximately 19.6. Rounding to the nearest tenth, the answer is 19.6.
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