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  • 3 years ago

The area of an ellipse is A = πab, but the perimeter cannot be expressed so simply: P≈ π(a+b)(3-(√(3a+b)(a+3b))/(a+b) ) prove that, when a=b=r, these become the familiar formulas for the area and perimeter of a circle

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  1. agent0smith
    • 3 years ago
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    Try replacing all the b's with a. eg in the area: A = πab becomes \[A = πaa = πa^2 = \pi r^2 \] P will become: \[P≈ π(a+a)(3-(√(3a+a)(a+3a))/(a+a) ) \] now try simplifying that.

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