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Home » Unlock Success Fast: ‘Knowing Is Half the Battle’—What It’s Really About! - Upplift

Unlock Success Fast: ‘Knowing Is Half the Battle’—What It’s Really About! - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 This is the diameter of the circle. The circumference $ C $ of a circle is given by:

📌 C = \pi \cdot ext{diameter} = \pi \cdot 8\sqrt{2} = 8\sqrt{2}\pi ext{ cm}

📌 Thus, the circumference of the circle is $ oxed{8\sqrt{2}\pi} $ cm.

📌 Question: The area of an equilateral triangle is $ 25\sqrt{3} $ cmÂ². If each side length is increased by 4 cm, by how many square centimeters does the area increase?

📌 Solution: The area $ A $ of an equilateral triangle with side length $ s $ is:

📌 A = rac{\sqrt{3}}{4}s^2

📌 Set this equal to the given area:

📌 rac{\sqrt{3}}{4}s^2 = 25\sqrt{3}

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