Application of Integrals · Class 12 · CBSE · Science Mathematics
Using integration, find the area enclosed by the circle x² + y² = 9.
Practice question from Application of Integrals (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
medium · Subjective · Q-9F9449
Using integration, find the area enclosed by the circle x² + y² = 9.
Answer: The upper half of the circle is y = √(9 − x²). Therefore, the total area is 2∫₋₃³√(9 − x²) dx = 9π square units.
Solution
The circle has radius . Its total area using integration is square units.
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