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The smaller part of x² + y² = a² cut off by the line x = a/√2 has area
Aπa²/4
Ba²(π + 2)/4
Ca²(π - 2)/4
Da²(π - 1)/2
Answer & Solution
Correct answer: C. a²(π - 2)/4
Twice the integral of √(a² - x²) from a/√2 to a equals πa²/4 - a²/2 = a²(π - 2)/4.
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