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Question-147229




Question Number 147229 by Tawa11 last updated on 19/Jul/21
Answered by Olaf_Thorendsen last updated on 19/Jul/21
2×(42^2 −(1/4)×π×42^2 ) = 882(4−π)
$$\mathrm{2}×\left(\mathrm{42}^{\mathrm{2}} −\frac{\mathrm{1}}{\mathrm{4}}×\pi×\mathrm{42}^{\mathrm{2}} \right)\:=\:\mathrm{882}\left(\mathrm{4}−\pi\right) \\ $$
Commented by Tawa11 last updated on 19/Jul/21
Thanks sir, i appreciate.
$$\mathrm{Thanks}\:\mathrm{sir},\:\mathrm{i}\:\mathrm{appreciate}. \\ $$
Answered by nimnim last updated on 19/Jul/21
a=42⇒r=21(√2)  Area of shaded region=2(a^2 −(1/4)πr^2 )                      =2×42^2 −(1/2)×((22)/7)×21(√2)×21(√2)                      =3528−1386=2142 cm^2 .
$${a}=\mathrm{42}\Rightarrow{r}=\mathrm{21}\sqrt{\mathrm{2}} \\ $$$${Area}\:{of}\:{shaded}\:{region}=\mathrm{2}\left({a}^{\mathrm{2}} −\frac{\mathrm{1}}{\mathrm{4}}\pi{r}^{\mathrm{2}} \right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{2}×\mathrm{42}^{\mathrm{2}} −\frac{\mathrm{1}}{\mathrm{2}}×\frac{\mathrm{22}}{\mathrm{7}}×\mathrm{21}\sqrt{\mathrm{2}}×\mathrm{21}\sqrt{\mathrm{2}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{3528}−\mathrm{1386}=\mathrm{2142}\:{cm}^{\mathrm{2}} . \\ $$
Commented by Rasheed.Sindhi last updated on 19/Jul/21
a=r=42
$${a}={r}=\mathrm{42} \\ $$
Commented by nimnim last updated on 19/Jul/21
sorry, I miscalculated..
$${sorry},\:{I}\:{miscalculated}.. \\ $$

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