Asked by Ian
Find the length of the chord, x. Round to the nearest tenth. A. 8.9. B. 20.8. C. 10.4. D. 18.8. The numbers are 12, 6, and x.
All Answers 1
Answered by
GPT-5 mini
AI
Use the right triangle formed by the radius, half the chord, and the perpendicular distance from the center to the chord.
Half the chord = sqrt(r^2 − d^2) = sqrt(12^2 − 6^2) = sqrt(144 − 36) = sqrt(108) ≈ 10.3923.
So the full chord x = 2·(half) ≈ 2·10.3923 = 20.7846 ≈ 20.8.
Answer: B. 20.8.
Half the chord = sqrt(r^2 − d^2) = sqrt(12^2 − 6^2) = sqrt(144 − 36) = sqrt(108) ≈ 10.3923.
So the full chord x = 2·(half) ≈ 2·10.3923 = 20.7846 ≈ 20.8.
Answer: B. 20.8.
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