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A-circle-of-radius-r-1-has-been-divided-into-two-parts-of-equal-area-by-an-arc-having-center-on-the-circle-Determine-the-radius-r-2-of-the-arc-




Question Number 4384 by Rasheed Soomro last updated on 16/Jan/16
A circle of radius r_1  has been divided  into two parts of equal area,  by an arc having center on the circle.  Determine the radius(r_2 ) of the arc.
$$\mathrm{A}\:\mathrm{circle}\:\mathrm{of}\:\mathrm{radius}\:\mathrm{r}_{\mathrm{1}} \:\mathrm{has}\:\mathrm{been}\:\mathrm{divided} \\ $$$$\mathrm{into}\:\mathrm{two}\:\mathrm{parts}\:\mathrm{of}\:\mathrm{equal}\:\mathrm{area}, \\ $$$$\mathrm{by}\:\mathrm{an}\:\mathrm{arc}\:\mathrm{having}\:\mathrm{center}\:\mathrm{on}\:\mathrm{the}\:\mathrm{circle}. \\ $$$$\mathrm{Determine}\:\mathrm{the}\:\mathrm{radius}\left(\mathrm{r}_{\mathrm{2}} \right)\:\mathrm{of}\:\mathrm{the}\:\mathrm{arc}. \\ $$
Commented by Rasheed Soomro last updated on 16/Jan/16

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