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Question Number 150136 by Tawa11 last updated on 09/Aug/21

Commented by Tawa11 last updated on 09/Aug/21

Thanks sir. God bless you. I appreciate ...

$$\mathrm{Thanks}\:\mathrm{sir}.\:\mathrm{God}\:\mathrm{bless}\:\mathrm{you}.\:\mathrm{I}\:\mathrm{appreciate}\:... \\ $$

Answered by mr W last updated on 09/Aug/21

R=(5/2)  ((R−r)/(R+r))=(1/( (√5)))  r=(((√5)−1)/( (√5)+1))R=(((3−(√5))R)/2)=(((3−(√5))5)/4)≈0.955

$${R}=\frac{\mathrm{5}}{\mathrm{2}} \\ $$$$\frac{{R}−{r}}{{R}+{r}}=\frac{\mathrm{1}}{\:\sqrt{\mathrm{5}}} \\ $$$${r}=\frac{\sqrt{\mathrm{5}}−\mathrm{1}}{\:\sqrt{\mathrm{5}}+\mathrm{1}}{R}=\frac{\left(\mathrm{3}−\sqrt{\mathrm{5}}\right){R}}{\mathrm{2}}=\frac{\left(\mathrm{3}−\sqrt{\mathrm{5}}\right)\mathrm{5}}{\mathrm{4}}\approx\mathrm{0}.\mathrm{955} \\ $$

Commented by Tawa11 last updated on 09/Aug/21

Thanks sir. God bless you. I appreciate.

$$\mathrm{Thanks}\:\mathrm{sir}.\:\mathrm{God}\:\mathrm{bless}\:\mathrm{you}.\:\mathrm{I}\:\mathrm{appreciate}. \\ $$

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