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Category: Mensuration

Find-the-equation-of-circle-which-passes-through-the-point-2-0-and-whose-center-is-the-limit-of-the-point-of-intersection-of-the-lines-3x-5y-1-and-2-c-x-5c-2-y-1-as-c-1-

Question Number 140597 by bramlexs22 last updated on 10/May/21 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{circle}\:\mathrm{which} \\ $$$$\mathrm{passes}\:\mathrm{through}\:\mathrm{the}\:\mathrm{point}\:\left(\mathrm{2},\mathrm{0}\right)\:\mathrm{and} \\ $$$$\mathrm{whose}\:\mathrm{center}\:\mathrm{is}\:\mathrm{the}\:\mathrm{limit}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{point}\:\mathrm{of}\:\mathrm{intersection}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{lines}\:\mathrm{3x}+\mathrm{5y}=\mathrm{1}\:\mathrm{and}\:\left(\mathrm{2}+\mathrm{c}\right)\mathrm{x}+\mathrm{5c}^{\mathrm{2}} \mathrm{y}=\mathrm{1} \\ $$$$\mathrm{as}\:\mathrm{c}\rightarrow\mathrm{1}\:. \\ $$ Answered by…

Question-75046

Question Number 75046 by aliesam last updated on 06/Dec/19 Commented by mind is power last updated on 06/Dec/19 $$\mathrm{O}\:\mathrm{is}\:\mathrm{center}\:\mathrm{of}\:\mathrm{circle}\:\mathrm{wich}\:\mathrm{pass}\:\mathrm{tbrow}\:\mathrm{A},\mathrm{B},\mathrm{C}\:? \\ $$ Commented by aliesam last…

Question-74882

Question Number 74882 by ajfour last updated on 03/Dec/19 Commented by ajfour last updated on 03/Dec/19 $${If}\:{each}\:{small}\:{blue}\:{triangles} \\ $$$${have}\:{the}\:{same}\:{area},\:{and}\:{each} \\ $$$${small}\:{quadrilaterals}\:{have}\:{the} \\ $$$${same}\:{area},\:{find}\:{ratio}\:{of}\:{length} \\ $$$${to}\:{breadth}\:{of}\:{the}\:{outer}\:{rectangle}.…

Question-9298

Question Number 9298 by tawakalitu last updated on 29/Nov/16 Answered by mrW last updated on 29/Nov/16 $$\mathrm{radius}\:\mathrm{r}=\left(\mathrm{7}+\mathrm{3}\right)/\mathrm{2}=\mathrm{5}\:\mathrm{cm} \\ $$$$\mathrm{height}\:\mathrm{of}\:\mathrm{segment}\:\mathrm{h}=\mathrm{3}\:\mathrm{cm} \\ $$$$\mathrm{area}\:\mathrm{of}\:\mathrm{segment}\:=\:\mathrm{r}^{\mathrm{2}} \mathrm{cos}\:^{−\mathrm{1}} \left(\frac{\mathrm{r}−\mathrm{h}}{\mathrm{r}}\right)−\left(\mathrm{r}−\mathrm{h}\right)\sqrt{\mathrm{2rh}−\mathrm{h}^{\mathrm{2}} } \\…

The-position-of-a-point-A-is-41-N-18-E-point-B-is-8000-km-due-west-of-A-Find-the-longitude-of-B-to-the-nearest-degree-

Question Number 9203 by tawakalitu last updated on 23/Nov/16 $$\mathrm{The}\:\mathrm{position}\:\mathrm{of}\:\mathrm{a}\:\mathrm{point}\:\mathrm{A}\:\mathrm{is}\:\left(\mathrm{41}°\mathrm{N},\:\mathrm{18}°\mathrm{E}\right) \\ $$$$\mathrm{point}\:\mathrm{B}\:\mathrm{is}\:\mathrm{8000}\:\mathrm{km}\:\mathrm{due}\:\mathrm{west}\:\mathrm{of}\:\mathrm{A}.\:\mathrm{Find}\:\mathrm{the} \\ $$$$\mathrm{longitude}\:\mathrm{of}\:\mathrm{B}\:\mathrm{to}\:\mathrm{the}\:\mathrm{nearest}\:\mathrm{degree}. \\ $$ Answered by mrW last updated on 23/Nov/16 $$\mathrm{The}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{the}\:\mathrm{Earth}\:\mathrm{is}\:\mathrm{roughly} \\…