Answer: 31.7 (choice C)
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Explanation:
The full circle has an area of 121pi square cm, as shown by the steps below
A = pi*r^2
A = pi*11^2
A = pi*121
A = 121pi
Again, this applies to the entire circle. However, we only want a small pizza slice of it. Specifically, we want a 30 degree slice out of a full 360 degree circle. So we want 30/360 = 1/12 of the full area.
(1/12)*121pi = 31.6777 approximately
That rounds to 31.7
