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.

💡 Why is C) the correct answer?

The correct answer to the question "A square is inscribed in a circle with radius 5√2 cm. What is the area of the square?" is Option C: 100 cm².

The other options — A) 50 cm², B) 75 cm², D) 125 cm² — are incorrect for this GRE Exam Prep question. As explained above: 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, whi…

📚 About This GRE Exam Prep Practice Question

This 3-level GRE Exam Prep question from the Quantitative Reasoning topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free GRE Exam Prep practice test or use flashcards for spaced repetition review.

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

✓ Correct Answer: Option C

📚 About This GRE Exam Prep Practice Question

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