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Question: A right triangle is displayed in a digital museum catalog, with legs of 9 cm and 12 cm. A circle is inscribed within the triangle. What is the radius of the inscribed circle?
Question: A museum curator designs a circular exhibit space with radius 10 meters. A square interactive zone is inscribed within the circle. What is the area, in square meters, of the square zone?
Solution: Let the original side length be $ s $. The area $ A $ of an equilateral triangle is given by the formula:

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