Question Number 8917 by Rasheed Soomro last updated on 05/Nov/16
$$\mathrm{Proposed}\:\mathrm{by}\:\mathrm{Rasheed}\:\mathrm{Soomro}. \\ $$$$\mathrm{What}\:\mathrm{will}\:\mathrm{be}\:\mathrm{possible}\:\mathrm{minimum}\:\mathrm{area} \\ $$$$\mathrm{of}\:\mathrm{a}\:\mathrm{quadrilateral},\:\mathrm{whose}\:\mathrm{all}\:\mathrm{the}\:\mathrm{sides} \\ $$$$\mathrm{touch}\:\mathrm{a}\:\mathrm{circle}\:\mathrm{of}\:\mathrm{radius}\:\:\mathrm{r}\:? \\ $$