Question Number 84641 by M±th+et£s last updated on 14/Mar/20
Commented by M±th+et£s last updated on 14/Mar/20
$${a}\:{square},\:{a}\:{circle}\:{and}\:{tow}\:{semicircles} \\ $$$${the}\:{are}\:{of}\:{the}\:{square}\:{is}\:\mathrm{4}.{what}\:{is}\:{the} \\ $$$${length}\:{of}\:{the}\:{blue}\:{lenght} \\ $$
Answered by MJS last updated on 15/Mar/20
$$\mathrm{area}\:\mathrm{of}\:\mathrm{square}\:=\:\mathrm{4}\:\Rightarrow\:\mathrm{side}\:\mathrm{length}\:=\mathrm{2}\:\Rightarrow \\ $$$$\mathrm{radius}\:\mathrm{of}\:\mathrm{incircle}\:=\mathrm{1}\:\Rightarrow \\ $$$$\mathrm{radii}\:\mathrm{of}\:\mathrm{blue}\:\mathrm{semicircles}\:{r}+{R}=\mathrm{1}\:\Rightarrow\:{R}=\mathrm{1}−{r} \\ $$$$\mathrm{length}\:\mathrm{of}\:\mathrm{blue}\:\mathrm{line}\:=\:\left({r}+{R}\right)\pi=\pi \\ $$