What is the area of the circle x² + y² = a² using definite integration in the first quadrant? A. πa² B. πa²/2 C. πa²/4 D. 2πa² Answer: C) πa²/4 Explanation: The area in the first quadrant is ∫[0 to a] √(a² - x²) dx. Using the standard formula, it evaluates to (πa²)/4.

imo class 12 definite integration

What is the area of the circle x² + y² = a² using definite integration in the first quadrant?

VAVidaara Admin Asked 6d ago 0 views 0 answers

What is the area of the circle x² + y² = a² using definite integration in the first quadrant?

Answer: C) πa²/4

Explanation: The area in the first quadrant is ∫[0 to a] √(a² - x²) dx. Using the standard formula, it evaluates to (πa²)/4.