The total area of the ellipse x²/a² + y²/b² = 1 is equivalent to the area of a circle with a specific radius R. What is R in terms of a and b?
The total area of the ellipse x²/a² + y²/b² = 1 is equivalent to the area of a circle with a specific radius R. What is R in terms of a and b?
- A. √(ab)
- B. a + b
- C. (a+b)/2
- D. ab
Answer: A) √(ab)
Explanation: Area of ellipse = πab. Area of circle = πR². Equating them gives πR² = πab, so R = √(ab).
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