Multiple choice

What is the area of a circle whose circumference is 264 cm?

  1. $5544 sq. cm$
  2. $5454 sq. cm$
  3. $5540 sq. cm$
  4. $5548 sq. cm$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Circumference C = 2πr = 264 cm. Therefore radius r = 264/(2π) = 264/44 = 6 cm (using π = 22/7). Area A = πr² = (22/7) × 6² = (22/7) × 36 = 22 × 36/7 = 792/7 = 113.14... Wait, let me recalculate: (22/7) × 36 = 792/7 ≈ 113.14. But using π = 22/7: r = 264/(2 × 22/7) = 264 × 7/44 = 6. Area = (22/7) × 36 = 792/7 = 113.14. Hmm, this doesn't match 5544. Let me use r = 264/2π. If π=22/7, r=264/(44/7)=264×7/44=42. Then area = (22/7) × 42² = (22/7) × 1764 = 22 × 252 = 5544 sq. cm.

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