Question:medium
The area of the region $\{(x,y): x^{2} + y^{2} \le 1 \le x + y\}$ is
The area of the region $\{(x,y): x^{2} + y^{2} \le 1 \le x + y\}$ is
Show Hint
Sketch the region first. Use geometric formulas (sector, triangle) rather than integration when the shapes are standard.
Updated On: Apr 8, 2026
- $\dfrac{\pi^{2}}{5}$ sq unit
- $\dfrac{\pi^{2}}{2}$ sq unit
- $\left(\dfrac{\pi}{4} - \dfrac{1}{2}\right)$ sq unit
- $\dfrac{\pi}{4}$ sq unit
Show Solution
The Correct Option is C
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