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Home » TheWackyWatch: This APP-POWERED Timepiece is Ruining Lives (Snapshot Inside!) - Carbonext

TheWackyWatch: This APP-POWERED Timepiece is Ruining Lives (Snapshot Inside!) - Carbonext

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📌 At \( x = 2 \), \( f''(2) = 6 \times 2 - 6 = 6 \) (local minimum).

📌 Therefore, \( a = 2 \).

📌 A circle is inscribed in a square with a side length of 10 units. What is the area of the shaded region between the circle and the square?

📌 The area of the square is \( 10^2 = 100 \) square units.

📌 The diameter of the inscribed circle is 10 units, so the radius is 5 units.

📌 The area of the circle is \( \pi \times 5^2 = 25\pi \).

📌 The shaded area is the area of the square minus the area of the circle: \( 100 - 25\pi \).

📌 Approximating \( \pi \) as 3.14, the shaded area is \( 100 - 25 \times 3.14 = 100 - 78.5 = 21.5 \) square units.

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