Menu Close

Category: Mensuration

Question-185166

Question Number 185166 by Rupesh123 last updated on 17/Jan/23 Answered by mnjuly1970 last updated on 18/Jan/23 $$\:\: \\ $$$${sin}\left(\frac{{A}}{\mathrm{2}}\:\right)\:=\:\frac{{r}}{{IA}}\:\Rightarrow\:{r}\:=\:{IA}.{sin}\left(\frac{{A}}{\mathrm{2}}\right) \\ $$$$\:\:\:\:\:\:{sin}\left(\:\frac{{B}}{\mathrm{2}}\right)=\:\frac{{r}}{{IB}}\:\Rightarrow\:{r}\:=\:{IB}.{sin}\left(\frac{{B}}{\mathrm{2}}\right) \\ $$$$\:\:\:\:\:\:{sin}\left(\frac{{C}}{\mathrm{2}}\right)=\frac{{r}}{{IC}}\:\Rightarrow\:{r}=\:{IC}.{sin}\left(\frac{{C}}{\:\mathrm{2}}\:\right) \\ $$$$\:\:\:\:−−−−−−−−−…

Question-53907

Question Number 53907 by peter frank last updated on 27/Jan/19 Answered by ajfour last updated on 27/Jan/19 $${y}={ax}^{\mathrm{2}} \\ $$$$\mathrm{0}.\mathrm{1}=\left(\frac{\mathrm{5}}{\mathrm{2}}\right)^{\mathrm{2}} {a}\:\:\:\Rightarrow\:\:{a}=\frac{\mathrm{2}}{\mathrm{125}} \\ $$$${y}=\frac{\mathrm{2}}{\mathrm{125}}{x}^{\mathrm{2}} \\ $$$${No}\:{need}\:{of}\:{above}\:{calculations}…

Question-53867

Question Number 53867 by byaw last updated on 26/Jan/19 Answered by tanmay.chaudhury50@gmail.com last updated on 27/Jan/19 $${Removed}\:{sector}\:{area}=\frac{\pi{r}^{\mathrm{2}} }{\mathrm{360}}×\mathrm{120}=\frac{\pi{r}^{\mathrm{2}} }{\mathrm{3}} \\ $$$${Remaining}\:{sector}\:{area}=\pi{r}^{\mathrm{2}} −\frac{\pi{r}^{\mathrm{2}} }{\mathrm{3}}=\frac{\mathrm{2}\pi{r}^{\mathrm{2}} }{\mathrm{3}} \\…

Question-184387

Question Number 184387 by ajfour last updated on 05/Jan/23 Commented by ajfour last updated on 05/Jan/23 $${If}\:{all}\:{three}\:{coloured}\:{areas}\:{are} \\ $$$${equal}\:{then}\:{find}\:{parameters}\: \\ $$$${h}\:{and}\:{k}\:{of}\:{parabola}\:{y}=\left({x}−{h}\right)^{\mathrm{2}} +{k}. \\ $$ Answered…