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Home » Solution: The average length is calculated by adding the two lengths and dividing by 2: - Anadea

Solution: The average length is calculated by adding the two lengths and dividing by 2: - Anadea

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 5Question: A regular hexagon is inscribed in a circle of radius $ r $. What is the area of the hexagon in terms of $ r $?

📌 Solution: A regular hexagon can be divided into 6 equilateral triangles, each with side length equal to the radius $ r $ of the circumscribed circle. The area of one equilateral triangle with side length $ r $ is:

📌 Since the hexagon consists of 6 such triangles, the total area is:

📌 Solution: The inradius $ r $ of a right triangle can be expressed using the formula:

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