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Category: Geometry

Question-166640

Question Number 166640 by cherokeesay last updated on 23/Feb/22 Answered by som(math1967) last updated on 24/Feb/22 $${Area}\:{with}\:{circle} \\ $$$$=\mathrm{2}×\left\{\frac{\pi}{\mathrm{6}}×\mathrm{4}^{\mathrm{2}} −\frac{\mathrm{1}}{\mathrm{2}}×\frac{\sqrt{\mathrm{3}}}{\mathrm{4}}×\mathrm{4}^{\mathrm{2}} \right\}{cm}^{\mathrm{2}} \\ $$$$=\left(\frac{\mathrm{16}\pi}{\mathrm{3}}\:−\mathrm{4}\sqrt{\mathrm{3}}\right){cm}^{\mathrm{2}} \: \\…

Question-166617

Question Number 166617 by mr W last updated on 23/Feb/22 Commented by mr W last updated on 23/Feb/22 $${three}\:{circles}\:{with}\:{radii}\:{a},\:{b},\:{c}\: \\ $$$${touch}\:{each}\:{other}\:{as}\:{shown}.\: \\ $$$${find}\:{the}\:{maximum}\:{side}\:{length}\:{of}\: \\ $$$${the}\:{equilateral}\:{triangle}\:{whose}\:…

Question-35527

Question Number 35527 by jivrajmunde4849@gmail.com last updated on 20/May/18 Commented by Rasheed.Sindhi last updated on 22/May/18 $$\mathrm{Ellipse}\:\mathrm{may}\:\mathrm{be}\:\mathrm{drawn}\:\mathrm{of}\:\mathrm{different}\: \\ $$$$\mathrm{sizes}\:\mathrm{in}\:\mathrm{the}\:\mathrm{same}\:\mathrm{data}.\:\mathrm{So}\:\mathrm{area}\:\mathrm{of} \\ $$$$\mathrm{shaded}\:\mathrm{region}\:\mathrm{is}\:\mathrm{not}\:\mathrm{fix}. \\ $$ Terms of…

Question-35390

Question Number 35390 by ajfour last updated on 18/May/18 Commented by ajfour last updated on 18/May/18 $${Find}\:{maximum}\:{area}\:{of}\:\bigtriangleup{ABC}. \\ $$$${The}\:{ellipse}\:{equation}\:{is}\:\frac{{x}^{\mathrm{2}} }{{a}^{\mathrm{2}} }+\frac{{y}^{\mathrm{2}} }{{b}^{\mathrm{2}} }=\mathrm{1}\:. \\ $$…