imo class 12 application of integrals

Calculate the area of the region in the first quadrant bounded by the x-axis, y-axis, and x² + y² = 36.

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Calculate the area of the region in the first quadrant bounded by the x-axis, y-axis, and x² + y² = 36.

  • A.
  • B.
  • C. 36π
  • D. 18π

Answer: A)

Explanation: Radius r = 6. Total area = 36π. Area in first quadrant = 36π / 4 = 9π sq units.

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