Category: Geometry

Question Number 46453 by MrW3 last updated on 26/Oct/18 Commented by MrW3 last updated on 27/Oct/18 $${Three}\:{circles}\:{with}\:{radii}\:{a},\:{b}\:{and}\:{c} \\ $$$${touch}\:{each}\:{other}.\:{Their}\:{circumscribed} \\ $$$${circle}\:{has}\:{the}\:{radius}\:{R}\:{and}\:{their} \\ $$$${inscribed}\:{circle}\:{has}\:{the}\:{radius}\:{r}. \\ $$$${Prove}\:{that}…

Question Number 177451 by mr W last updated on 05/Oct/22 Commented by mr W last updated on 05/Oct/22 $${an}\:{elipse}\:{with}\:{a}=\mathrm{10}{cm}\:{and}\:{b}=\mathrm{6}{cm}\:{is} \\ $$$${moved}\:{by}\:\mathrm{5}{cm}\:{in}\:{x}\:{direction}\:{and}\:{by} \\ $$$$\mathrm{3}{cm}\:{in}\:{y}\:{direction}.\:{find}\:{the}\:{shaded} \\ $$$${area}.…

Question Number 177432 by HeferH last updated on 05/Oct/22 Commented by Ar Brandon last updated on 05/Oct/22 $$\mathrm{30}°\:? \\ $$ Commented by HeferH last updated…

Question Number 177415 by HeferH last updated on 04/Oct/22 Answered by TheHoneyCat last updated on 04/Oct/22 $$\mathrm{This}\:\mathrm{problem}\:\mathrm{has}\:\mathrm{no}\:\mathrm{solution}. \\ $$$$ \\ $$$$\mathrm{If}\:\mathrm{on}\:\mathrm{the}\:\mathrm{green}\:\left(\mathrm{upper}\right)\:\mathrm{triangle}\:\mathrm{the}\:\mathrm{notation} \\ $$$$“\neq''\:\mathrm{means}\:\mathrm{that}\:\mathrm{it}\:\mathrm{is}\:\mathrm{isocelus}\:\left(\mathrm{like}\:\mathrm{usualy}\:\mathrm{in}\right. \\ $$$$\left.\mathrm{geometry}\right)\:\mathrm{than}\:\mathrm{it}\:\mathrm{CANNOT}\:\mathrm{also}\:\mathrm{be}\:\mathrm{a}…

Question Number 46308 by ajfour last updated on 23/Oct/18 Commented by ajfour last updated on 23/Oct/18 $${O}\:{is}\:{the}\:{centre}\:{of}\:{circle},\:{C}\:{the} \\ $$$${centre}\:{of}\:{the}\:{unit}\:{square}.\: \\ $$$${If}\:\left({i}\right)\:\alpha=\mathrm{tan}^{−\mathrm{1}} \frac{\mathrm{4}}{\mathrm{3}},\:\:\left({ii}\right)\:\alpha=\mathrm{60}°,\: \\ $$$${find}\:{radius}\:{R}. \\…