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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.
Anellipsehavingsemimajoraxislengthaandsemiminoraxislengthbandacirclehavingradiusrhaveequalarea.Expressrintermsofaandb.
Answered by Yozzii last updated on 25/Jan/16
Area of ellipse, A_1 =πab.  Area of circle, A_2 =πr^2 .  A_1 =A_2 ⇒r=(√(ab)).
Areaofellipse,A1=πab.Areaofcircle,A2=πr2.A1=A2r=ab.

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