The area of the region {(x,y) : x² + y² ≤ 1 ≤ x + y} is:
The area of the region {(x,y) : x² + y² ≤ 1 ≤ x + y} is:
- A. (π/4 − 1/2) sq units
- B. (π/2 − 1) sq units
- C. (π/4 + 1/2) sq units
- D. π/4 sq units
Answer: A) (π/4 − 1/2) sq units
Explanation: Area = area of quarter circle in first quadrant where x + y ≥ 1. Area = (π/4) − (1/2 × 1 × 1) = π/4 − 1/2 sq units.
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