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Home » Get Instant Access: The Complete Vars Database Guide Youve Been Searching For! - Feedz API

Get Instant Access: The Complete Vars Database Guide Youve Been Searching For! - Feedz API

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 A = \frac{3\sqrt{3}}{2} \cdot 36 = 54\sqrt{3}

📌 The area is $ \boxed{54\sqrt{3}} $ cm².

📌 Question: An ichthyologist models a fish's field of vision as a sector of a circle with radius 12 m and central angle $ 60^\circ $. What is the area of this visual sector?

📌 Solution: The area $ A $ of a sector of a circle with radius $ r $ and central angle $ \theta $ (in degrees) is:

📌 A = \frac{\theta}{360} \cdot \pi r^2

📌 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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