Category: Geometry

Question Number 172918 by mnjuly1970 last updated on 03/Jul/22 Commented by som(math1967) last updated on 03/Jul/22 $$\mathit{y}\mathit{e}\mathit{s}\mathit{i}\mathit{g}\mathit{o}\mathit{t}\frac{16}{3}\mathit{c}\mathit{m}$$ Commented by infinityaction last updated on…

Question Number 41766 by ajfour last updated on 12/Aug/18 Answered by MrW3 last updated on 18/Aug/18 $${let}^{\prime }ssay0<b⩽a⩽2R$$$$$$$$B(0,0)$$$${O}\left(\frac{{b}}{\mathrm{2}},\sqrt{{R}^{\mathrm{2}} −\frac{{b}^{\mathrm{2}} }{\mathrm{4}}}\right)…

Question Number 172763 by mnjuly1970 last updated on 01/Jul/22 Answered by aleks041103 last updated on 01/Jul/22 Commented by aleks041103 last updated on 01/Jul/22 $$\left.\mathrm{1}\right) \…

Question Number 172723 by mnjuly1970 last updated on 30/Jun/22 Answered by mr W last updated on 30/Jun/22 $$\tan \alpha =\frac{3}{4}=\frac{2\tan \frac{\alpha }{2}}{1-{\tan }^2\frac{\alpha }{2}}$$$$(3\tan \frac{\alpha }{2}-1)(\tan \frac{\alpha }{2}+3)=0$$$$\Rightarrow \tan \frac{\alpha }{2}=\frac{1}{3}$$$$\mathrm{5}{r}+\frac{{r}}{\mathrm{tan}\:\frac{\alpha}{\mathrm{2}}}=\mathrm{4}…

Question Number 41620 by Tawa1 last updated on 10/Aug/18 Commented by Tawa1 last updated on 10/Aug/18 $$\mathrm{If}\mathrm{each}\mathrm{of}\mathrm{the}\mathrm{small}\mathrm{circles}\mathrm{in}\mathrm{the}\mathrm{diagram}\mathrm{has}\mathrm{the}\mathrm{radius}=\mathrm{r}.$$$$\mathrm{Find}\mathrm{the}\mathrm{radius}\mathrm{of}\mathrm{the}\mathrm{large}\mathrm{circle}\mathrm{in}\mathrm{terms}\mathrm{of}\mathrm{r}$$ Answered by MrW3 last…