imo class 12 application of integrals

A circular playground managed by the Foundation is given by x² + y² = 100. Sachin wants to lay synthetic turf only in the 1st quadrant section. What is the area to be turfed?

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A circular playground managed by the Foundation is given by x² + y² = 100. Sachin wants to lay synthetic turf only in the 1st quadrant section. What is the area to be turfed?

  • A. 25π
  • B. 10π
  • C. 100π
  • D. 50π

Answer: A) 25π

Explanation: Total area = πr² = 100π. The 1st quadrant area is exactly one-fourth of the total area, which is 25π sq units.

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