An-ellipse-having-semi-major-axis-length-a-and-semi-minor-axis-length-b-and-a-circle-having-radius-r-have-equal-area-Express-r-in-terms-of-a-and-b-

Question Number 4437 by Rasheed Soomro last updated on 25/Jan/16

An ellipse having semi - major axis

length a and semi - minor axis length b

and a circle having radius r have equal

area .

Express r in terms of a and b .

Answered by Yozzii last updated on 25/Jan/16

A r e a o f e l l i p s e, A_{1} = π a b .

A r e a o f c i r c l e, A_{2} = π r^{2} .

A_{1} = A_{2} \Rightarrow r = \sqrt{a b} .

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