imo class 12 application of integrals

Using integration, the area of the circle x² + y² = 9 is:

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Using integration, the area of the circle x² + y² = 9 is:

  • A. 9π sq units
  • B. 3π sq units
  • C. 6π sq units
  • D. 18π sq units

Answer: A) 9π sq units

Explanation: Area = 4 × ∫[0 to 3] √(9 − x²) dx = 4 × (π×9/4) = 9π sq units.

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