Step 1: \ \

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$\"\"$ \ \

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Surface integral formula: \ \

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$\"\"$ \ \

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$\"\"$ \ \

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$\"\"$ \ \

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ \ \

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$\"\"$ \ \

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Substitute $\"\"$ . \ \

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$\"\"$ \ \

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$\"\"$ is the projection of the surface $\"\"$ on the $\"\"$ plane. \ \

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$\"\"$ is the region inside the circle $\"\"$ . \ \

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Convert the area from rectangular coordinates to polar coordinates. \ \

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ \ \

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$\"\"$

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$\"\"$ \ \

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Solution: \ \

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$\"\"$ . \ \