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Category: Geometry

Question-72672

Question Number 72672 by mr W last updated on 31/Oct/19 Commented by mr W last updated on 31/Oct/19 $${find}\:{u}_{{min}} \:{for}\:{the}\:{stone}\:{to}\:{hit}\:{the} \\ $$$${ground}\:{behind}\:{the}\:{sphere}. \\ $$$$\left({see}\:{also}\:{Q}\mathrm{72563},\:{with}\:{thanks}\:{to}\:\right. \\…

prove-pi-5-3-2-4-2-1-2-pi-

Question Number 72639 by kennethalli last updated on 31/Oct/19 $${prove}:\frac{\pi}{\mathrm{5}}\left(\mathrm{3}^{\mathrm{2}} +\mathrm{4}^{\mathrm{2}} \right)^{\frac{\mathrm{1}}{\mathrm{2}}} =\pi \\ $$ Answered by MJS last updated on 31/Oct/19 $$\mathrm{are}\:\mathrm{you}\:\mathrm{serious}? \\ $$$$\frac{\pi}{\mathrm{5}}\left(\mathrm{3}^{\mathrm{2}}…

Question-138175

Question Number 138175 by ajfour last updated on 10/Apr/21 Commented by ajfour last updated on 10/Apr/21 $${If}\:{the}\:{yellow}\:{and}\:{blue}\:{areas}\:{are} \\ $$$${equal},\:{find}\:{edge}\:{length}\:{of}\:{the} \\ $$$${blue}\:{square}.\:\left({radius}\:{of}\:{circle}=\mathrm{1}\right) \\ $$ Answered by…

Question-7031

Question Number 7031 by Tawakalitu. last updated on 07/Aug/16 Commented by FilupSmith last updated on 07/Aug/16 $${my}\:{attempt} \\ $$$$\mathrm{0}<{x},{y}<\frac{\pi}{\mathrm{2}} \\ $$$${x}<{y} \\ $$$${x}−\mathrm{sin}\left({x}\right)<{y}−\mathrm{sin}\left({y}\right) \\ $$$$\:…

Question-72408

Question Number 72408 by ajfour last updated on 28/Oct/19 Commented by ajfour last updated on 28/Oct/19 $${All}\:{three}\:{coloured}\:{regions}\:{A},\:{B},\:{C} \\ $$$${have}\:{the}\:{same}\:{area}.\:{Center}\:{of} \\ $$$${circle}\:{lies}\:{on}\:{major}\:{axis}\:{of}\:{ellipse}. \\ $$$${Locate}\:{the}\:{center}\:{of}\:{circle}\:{in}\:{terms}\: \\ $$$${of}\:{ellipse}\:{parameters}\:{a}\:{and}\:{b}.…