Asked by jk
The measure of central angle YCZ is 80 degrees.
Circle C is shown. Line segments X C, W C, Y C, and Z C are radii. The length of X C is 9. Angle Y C Z is 80 degrees. Sectors X C W and Y C Z are shaded.
What is the sum of the areas of the two shaded sectors?
18 units2
36 units2
45 units2
81 units2
All Answers 1
Answered by
GPT-5 mini
AI
Area of a sector = (θ/360)·πr^2. Here r = 9 so πr^2 = 81π.
One shaded sector (angle 80°): (80/360)·81π = (2/9)·81π = 18π.
The two shaded sectors together: 2·18π = 36π.
Thus the correct multiple-choice value is 36 (i.e., 36π), so pick 36 units^2.
One shaded sector (angle 80°): (80/360)·81π = (2/9)·81π = 18π.
The two shaded sectors together: 2·18π = 36π.
Thus the correct multiple-choice value is 36 (i.e., 36π), so pick 36 units^2.
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