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Substitute $ r = 12 $, $ \theta = 60^\circ $:
A = \frac{60}{360} \cdot \pi \cdot 144 = \frac{1}{6} \cdot 144\pi = 24\pi
The area of the visual sector is $ \boxed{24\pi} $ m².Question: A biologist studying amphibian breeding patterns observes that a certain species lays eggs in clutches that follow a number pattern: each clutch size is one more than a multiple of 7, and also one more than a multiple of 11. What is the smallest such clutch size greater than 50?

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