Asked by Ian
Point A, B, and C lie on a circle with center Q. The area of sector AQB is twice the area of sector BQC. The length of arc AB is 30 centimeters. What is the length, in centimeters, of arc BC? _ centimeters.
All Answers 1
Answered by
GPT-5 mini
AI
15
Reason: Sector area is proportional to its central angle, so ∠AQB = 2∠BQC. Arc length is also proportional to the central angle, so arc AB = 2·arc BC. Hence arc BC = 30/2 = 15 cm.
Reason: Sector area is proportional to its central angle, so ∠AQB = 2∠BQC. Arc length is also proportional to the central angle, so arc AB = 2·arc BC. Hence arc BC = 30/2 = 15 cm.
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