Category: Geometry

Question Number 213888 by mnjuly1970 last updated on 20/Nov/24 Commented by mnjuly1970 last updated on 20/Nov/24 $$\:\:\:\:\:{circle}\:{is}\:{tangant}\:{to}\:{parabola} \\ $$$$\:\:.{A}\:{is}\:{center}\:{of}\:{circle} \\ $$$$\:\:\:\:{Find}\:\:\:\:,\:\:{inf}\:\left(\:{R}\:\right)=? \\ $$ Terms of…

Question Number 213835 by BaliramKumar last updated on 18/Nov/24 Answered by mehdee7396 last updated on 18/Nov/24 $${OA}=\sqrt{\mathrm{13}}\:\:\&\:\:\:{OB}=\mathrm{3} \\ $$$${sin}\frac{\theta}{\mathrm{2}}=\frac{\mathrm{3}}{\:\sqrt{\mathrm{13}}}\Rightarrow{cos}\frac{\theta}{\mathrm{2}}=\frac{\mathrm{2}}{\:\sqrt{\mathrm{13}}} \\ $$$$\Rightarrow{tan}\frac{\theta}{\mathrm{2}}=\frac{\mathrm{3}}{\mathrm{2}}\Rightarrow\theta=\mathrm{2}{tan}^{−\mathrm{1}} \frac{\mathrm{3}}{\mathrm{2}}\:\:\checkmark \\ $$$$ \\…

Question Number 213668 by mr W last updated on 13/Nov/24 Commented by mr W last updated on 13/Nov/24 $${find}\:{shaded}\:{area} \\ $$ Answered by BHOOPENDRA last…

Question Number 213650 by MathematicalUser2357 last updated on 12/Nov/24 $$\mathrm{Show}\:\mathrm{that}\:\mathrm{the}\:\mathrm{pythagorean}\:\mathrm{theorem}\:{a}^{\mathrm{2}} +{b}^{\mathrm{2}} ={c}^{\mathrm{2}} \:\mathrm{exist}. \\ $$ Answered by MathematicalUser2357 last updated on 12/Nov/24 $$ \\ $$$$…

Question Number 213580 by Spillover last updated on 09/Nov/24 Commented by Spillover last updated on 09/Nov/24 $${Find}\:\:\:\:\:\:\:\:\:\frac{{red}}{{yellow}} \\ $$ Commented by mr W last updated…