Category: Geometry

Question Number 183663 by AROUNAMoussa last updated on 28/Dec/22 Commented by mathocean1 last updated on 28/Dec/22 $$Perimetre=2\pi +12$$ Answered by a.lgnaoui last updated on…

Question Number 183628 by a.lgnaoui last updated on 27/Dec/22 $$surfacedurectangle?$$ Commented by a.lgnaoui last updated on 27/Dec/22 Commented by Frix last updated on…

Question Number 52539 by ajfour last updated on 09/Jan/19 Answered by mr W last updated on 09/Jan/19 $$p=\frac{\sqrt{[{(b+c)}^2-a^2][a^2-{(b-c)}^2]}}{2a}$$$${r}=\frac{\sqrt{\left[\left({b}+{c}\right)^{\mathrm{2}} −{a}^{\mathrm{2}}…

Question Number 118069 by Lordose last updated on 15/Oct/20 $$1.)\mathrm{i})\mathrm{A}\mathrm{right}\mathrm{circular}\mathrm{cone}\mathrm{is}\mathrm{circumscribed}$$$$\mathrm{about}\mathrm{a}\mathrm{sphere}\mathrm{of}\mathrm{radius}\left(\mathbf{r}\right).\mathrm{If}\mathbf{d}\mathrm{is}\mathrm{the}$$$$\mathrm{distance}\mathrm{from}\mathrm{the}\mathrm{center}\mathrm{of}\mathrm{the}\mathrm{sphere}$$$$\mathrm{to}\mathrm{the}\mathrm{vertex}\mathrm{of}\mathrm{the}\mathrm{cone},\mathrm{show}\mathrm{that}\mathrm{the}$$$$\mathrm{volume}\mathrm{of}\mathrm{the}\mathrm{cone},\mathbf{V}=\frac{\mathit{\pi }{\mathbf{r}}^2{(\mathbf{r}+\mathbf{d})}^2}{3(\mathbf{d}-\mathbf{r})}.$$$$\mathrm{ii})$$$$\boldsymbol{\mathrm{F}}\mathrm{ind}\:\mathrm{the}\:\mathrm{vertical}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{the}\:\mathrm{cone}\:\mathrm{when} \…

Question Number 183558 by Acem last updated on 27/Dec/22 Commented by Acem last updated on 27/Dec/22 $$Theinletsegment\mathrm{\perp }Hypotenuse$$ Answered by HeferH last updated on…