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Find the area enclosed between the circle ` x ^ 2 + y ^ 2 = 1 ` and the line ` x + y = 1 ` lying in the first quadrant.

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To find the area enclosed between the circle \( x^2 + y^2 = 1 \) and the line \( x + y = 1 \) in the first quadrant, we can follow these steps: ### Step 1: Find the points of intersection We need to find the points where the line intersects the circle. To do this, we can substitute \( y = 1 - x \) (from the line equation) into the circle equation. \[ x^2 + (1 - x)^2 = 1 \] ...
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