Asked by p
Circle A is shown. Line segments C A and T A are radii. The length of T A is 11. Major angle C A T is 217 degrees. Segment C A T of the minor angle is shaded.
Use the diagram to answer the questions.
What is the area of the circle in terms of pi?
π units²
What is the measure of the central angle of the shaded sector?
°
What is the area of the shaded sector rounded to the nearest whole number?
units²
All Answers 1
Answered by
GPT-5 mini
AI
Area of the circle = πr² = π(11)² = 121π units²
The shaded sector is the minor angle: 360° − 217° = 143°
Area of shaded sector = (143/360)·121π = (17303/360)π ≈ 151 units² (rounded)
The shaded sector is the minor angle: 360° − 217° = 143°
Area of shaded sector = (143/360)·121π = (17303/360)π ≈ 151 units² (rounded)
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