Category: Geometry

Question Number 5515 by FilupSmith last updated on 17/May/16 $$\mathrm{If}\mathrm{you}\mathrm{have}\mathrm{a}\mathrm{regular}n-\mathrm{sided}\mathrm{polygon},$$$$\mathrm{is}\mathrm{there}\mathrm{a}\mathrm{method}\mathrm{to}\mathrm{calculate}\mathrm{the}\mathrm{area}$$$$\mathrm{from}\mathrm{one}\mathrm{corner}\mathrm{to}\mathrm{another}?$$$$$$$$\mathrm{That}\mathrm{is},\mathrm{if}\mathrm{we}\mathrm{start}\mathrm{at}\mathrm{a}\mathrm{corner}\left(\mathrm{corner}1\right),$$$$\mathrm{and}\mathrm{draw}\mathrm{a}\mathrm{line}\mathrm{to}\mathrm{corner}x,\mathrm{what}\mathrm{is}\mathrm{the}\mathrm{area}?$$$$\mathrm{See}\mathrm{image}\mathrm{in}\mathrm{comment}\mathrm{for}\mathrm{visual}\mathrm{representation}.$$ Commented…

Question Number 5490 by 123456 last updated on 16/May/16 $$\int \sqrt{r^2-x^2}dx=?$$$$\underset{-r}{\stackrel{x}{\int }}\sqrt{r^2-x^2}dx=??$$$$\underset{{x}} {\overset{{y}} {\int}}\sqrt{{r}^{\mathrm{2}} −{x}^{\mathrm{2}} }{dx}=??? \…

Question Number 5447 by 3 last updated on 15/May/16 $$6/8$$$$$$ Answered by FilupSmith last updated on 15/May/16 $$\frac{6}{8}=\frac{2\times 3}{2\times 4}$$$$=\frac{\mathrm{2}}{\mathrm{2}}×\frac{\mathrm{3}}{\mathrm{4}} \…

Question Number 5417 by FilupSmith last updated on 14/May/16 $$\mathrm{Prove},\mathrm{or}\mathrm{disprove},\mathrm{that}\mathrm{the}\mathrm{circle}$$$$\mathrm{has}\mathrm{the}\mathrm{largest}Perimiter\mathrm{over}\mathrm{all}$$$$\mathrm{natural}\mathrm{shapes}\mathrm{that}\mathrm{have}\mathrm{area}A$$ Commented by Rasheed Soomro last updated on 14/May/16 $$\mathrm{I}\:\mathrm{think}\:\mathrm{that}\:\mathrm{the}\:\mathrm{circle}\:\mathrm{has}\:\mathrm{the}\:\mathrm{smallest}…

Question Number 5398 by FilupSmith last updated on 13/May/16 $$\mathrm{If}\mathrm{we}\mathrm{have}\mathrm{an}n-\mathrm{dimensional}\mathrm{cube}.$$$$\mathrm{How}\mathrm{do}\mathrm{we}\mathrm{find}\mathrm{its}{}^{\prime }{volume}^{\prime }?$$ Commented by Rasheed Soomro last updated on 13/May/16 $$\mathrm{Suppose}\mathrm{s}\mathrm{is}\mathrm{measure}\mathrm{of}\mathrm{side}\mathrm{of}$$$$\mathrm{n}-\mathrm{dimensional}\:\mathrm{cube}.…