🧠 GRE Exam Prep

A square has a perimeter of 24 units. If a circle is inscribed within this square, what is the area of the circle?

A 9π square units
B 16π square units
C 36π square units
D 48π square units

✓ Correct Answer: Option A

The perimeter of the square is 24, so its side length is 24/4 = 6 units. For a circle inscribed in a square, the diameter of the circle equals the side length of the square. So, diameter = 6, radius r = 3. Area of circle = πr² = π(3)² = 9π.

💡 Why is A) the correct answer?

The correct answer to the question "A square has a perimeter of 24 units. If a circle is inscribed within this square, what is the area of the circle?" is Option A: 9π square units.

The other options — B) 16π square units, C) 36π square units, D) 48π square units — are incorrect for this GRE Exam Prep question. As explained above: The perimeter of the square is 24, so its side length is 24/4 = 6 units. For a circle inscribed in a square, the diameter of the circle equals the side length of the square. So, diameter = 6, radius …

📚 About This GRE Exam Prep Practice Question

This 2-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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