imo class 12 application of integrals

The area bounded by the curve y = √(9 − x²) and the x-axis is:

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The area bounded by the curve y = √(9 − x²) and the x-axis is:

  • A. (9π)/2 sq units
  • B. 9π sq units
  • C. 3π sq units
  • D. π sq units

Answer: A) (9π)/2 sq units

Explanation: Semicircle of radius 3. Area = (1/2)π(3)² = 9π/2 sq units.

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