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Home » Daily Set Puzzle Hacks: Shocking Tricks to Solve Every Puzzle Faster! - Portal da AcÃºstica

Daily Set Puzzle Hacks: Shocking Tricks to Solve Every Puzzle Faster! - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 The area of the new triangle is:

📌 A_2 = \frac{1}{2} \times 12 \times \sqrt{133} = 6\sqrt{133} \text{ cm}^2

📌 Calculate the change in area:

📌 \Delta A = A_2 - A_1 = 6\sqrt{133} - 60

📌 Thus, the change in the area of the triangle is:

📌 \boxed{6\sqrt{133} - 60 \text{ cm}^2}

📌 Question:** A regular hexagon is inscribed in a circle of radius 10 cm. If the radius is increased by 1 cm, by how many square centimeters does the area of the hexagon increase?

📌 The side length \( s \) of a regular hexagon inscribed in a circle is equal to the radius \( r \). For the original hexagon with radius 10 cm:

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