The area of an ellipse with semi major axis 'a' and semi minor axis 'b' is ______

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  1. π ab
  2. 4 π ab
  3. 2 π ab
  4. π ab/2

Answer (Detailed Solution Below)

Option 1 : π ab
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Detailed Solution

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Given:

Semi-major axis = a

Semi-minor axis = b 

Concept used:

Area of ellipse = πab, where a and b are the length of the semi-major and semi-minor axis of an ellipse.

Calculation:

Hence, the area of an ellipse with semi-major axis 'a' and semi-minor axis 'b' is πab.

∴ The area of an ellipse with semi-major axis 'a' and semi-minor axis 'b' is πab.

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