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📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 where \( a \) and \( b \) are the legs of the right triangle, and \( c \) is the hypotenuse. First, calculate the hypotenuse \( c \) using the Pythagorean theorem:

📌 Now, apply the formula for the radius:

📌 r = \frac{9 + 12 - 15}{2} = \frac{6}{2} = 3

📌 Thus, the radius of the inscribed circle is \(\boxed{3 \text{ cm}}\).

📌 Question:** A regular hexagon is inscribed in a circle with a radius of 10 cm. Calculate the area of the hexagon.

📌 A regular hexagon can be divided into 6 equilateral triangles. If the hexagon is inscribed in a circle, each vertex of the hexagon lies on the circle, making the radius of the circle equal to the side length of each equilateral triangle.

📌 The formula for the area \( A \) of an equilateral triangle with side length \( s \) is:

📌 A = \frac{\sqrt

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