Find the area of the region bounded by the curve y = √(16 − x²) and the x-axis. A. 8π B. 16π C. 4π D. 32π Answer: A) 8π Explanation: The curve y = √(16 − x²) represents the upper half of a circle with radius 4. Area = 1/2 × π(4²) = 8π sq units.

imo class 12 application of integrals

Find the area of the region bounded by the curve y = √(16 − x²) and the x-axis.

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Find the area of the region bounded by the curve y = √(16 − x²) and the x-axis.

Answer: A) 8π

Explanation: The curve y = √(16 − x²) represents the upper half of a circle with radius 4. Area = 1/2 × π(4²) = 8π sq units.