🧠 GRE Exam Prep

A square with a side length of 8 is inscribed in a circle. What is the area of the circle?

A 16π
B 32π
C 64π
D 128π

✓ Correct Answer: Option B

The diagonal of the inscribed square is the diameter of the circle. For a square with side 8, the diagonal is 8√2. So, the diameter is 8√2, and the radius is 4√2. The area of the circle is πr^2 = π(4√2)^2 = π(16*2) = 32π.

💡 Why is B) the correct answer?

The correct answer to the question "A square with a side length of 8 is inscribed in a circle. What is the area of the circle?" is Option B: 32π.

The other options — A) 16π, C) 64π, D) 128π — are incorrect for this GRE Exam Prep question. As explained above: The diagonal of the inscribed square is the diameter of the circle. For a square with side 8, the diagonal is 8√2. So, the diameter is 8√2, and the radius is 4√2. The area of the circle is πr^2 = π(4…

📚 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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