Cncern c the circle r 2a cos for -p2 p2 of radius a


Question: Concern C, the circle r = 2a cos θ, for -π/2 ≤ θ ≤ π/2, of radius a > 0 centered at the point (x, y)=(a, 0) on the x-axis.

1. By converting to Cartesian coordinates, show that r = 2a cos θ gives the circle described.

2. Find the area of the circle C by integrating in polar coordinates.

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Mathematics: Cncern c the circle r 2a cos for -p2 p2 of radius a
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