📊 GMAT Exam Prep

A circle is inscribed in a square. If the area of the square is 36 square units, what is the area of the circle?

A 6π square units
B 9π square units
C 12π square units
D 36π square units

✓ Correct Answer: Option B

If the square's area is 36, its side length is √36 = 6 units. The diameter of the inscribed circle is equal to the square's side length, so d=6. The radius is r=3. Area of circle = πr² = π(3)² = 9π.

💡 Why is B) the correct answer?

The correct answer to the question "A circle is inscribed in a square. If the area of the square is 36 square units, what is the area of the circle?" is Option B: 9π square units.

The other options — A) 6π square units, C) 12π square units, D) 36π square units — are incorrect for this GMAT Exam Prep question. As explained above: If the square's area is 36, its side length is √36 = 6 units. The diameter of the inscribed circle is equal to the square's side length, so d=6. The radius is r=3. Area of circle = πr² = π(3)² = 9π.

📚 About This GMAT Exam Prep Practice Question

This 2-level GMAT 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 GMAT Exam Prep practice test or use flashcards for spaced repetition review.

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