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

$$\mathrm{An}\mathbf{ellipse}\mathrm{having}\mathbf{semi}-\mathbf{major}\mathbf{axis}$$$$\mathbf{length}\mathbf{a}\mathrm{and}\mathbf{semi}-\mathbf{minor}\mathbf{axis}\mathbf{length}\mathbf{b}$$$$\mathrm{and}\mathrm{a}\mathbf{circle}\mathrm{having}\mathbf{radius}\mathbf{r}\mathrm{have}\mathrm{equal}$$$$\mathbf{area}.$$$$\mathrm{Express}\mathbf{r}\mathrm{in}\mathrm{terms}\mathrm{of}\mathbf{a}\mathrm{and}\mathbf{b}.$$$$$$

Answered by Yozzii last updated on 25/Jan/16

$$Areaofellipse,A_1=\pi ab.$$$$Areaofcircle,A_2=\pi r^2.$$$$A_1=A_2\Rightarrow r=\sqrt{ab}.$$

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