🧠 GRE Exam Prep

A square is inscribed in a circle with radius 5√2 cm. What is the area of the square?

A 50 cm²
B 75 cm²
C 100 cm²
D 125 cm²

✓ Correct Answer: Option C

For an inscribed square, the diagonal of the square is the diameter of the circle. Diameter = 2 * radius = 2 * 5√2 = 10√2 cm. If 's' is the side of the square, s√2 is the diagonal. So s√2 = 10√2, which means s = 10 cm. Area = s² = 10² = 100 cm².

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