Question Number 127749 by ajfour last updated on 01/Jan/21 Commented by ajfour last updated on 01/Jan/21 $${Find}\:{ratio}\:{of}\:{radius}\:{of}\:{small} \\ $$$${semicircles}\:{of}\:{equal}\:{radii}\:{to} \\ $$$${that}\:{of}\:{outer}\:{semicircle}\:{r}/{R}. \\ $$ Answered by…
Question Number 127740 by Algoritm last updated on 01/Jan/21 Commented by Algoritm last updated on 01/Jan/21 $$\mathrm{yellow}\:\mathrm{shaded}\:\mathrm{area}=? \\ $$ Commented by mr W last updated…
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Question Number 62121 by ajfour last updated on 16/Jun/19 $${A}\:{cube}\:{of}\:{unit}\:{edge}\:{length}\: \\ $$$${is}\:{held}\:{before}\:{a}\:{plane}.\:{Prove}\:{that} \\ $$$${the}\:{sum}\:{of}\:{the}\:{squares}\:{of}\:{the} \\ $$$${projected}\:{lengths}\:{of}\:{edges}\:{of}\:{the}\:{cube} \\ $$$${on}\:{the}\:{plane}\:\left({irrespective}\:{of}\right. \\ $$$$\left.{the}\:{orientation}\:{of}\:{the}\:{cube}\right)\:{is}\:\mathrm{8}. \\ $$ Answered by mr…
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Question Number 62094 by Tawa1 last updated on 15/Jun/19 Commented by mr W last updated on 15/Jun/19 $${too}\:{less}\:{information}\:{to}\:{determine}\:\angle{C}! \\ $$$${with}\:{given}\:{conditions}\:{point}\:{C}\:{could} \\ $$$${be}\:{at}\:{any}\:{position}\:{on}\:{line}\:{AB}. \\ $$ Commented…
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Question Number 61994 by ajfour last updated on 13/Jun/19 Commented by ajfour last updated on 13/Jun/19 $${Find}\:{the}\:\boldsymbol{{r}}\:{of}\:{largest}\:{size}\:{sphere}\: \\ $$$${that}\:{can}\:{rest}\:{against}\:{the}\:{rim}\:{of} \\ $$$${cylinder}\:{on}\:{one}\:{side}\:{and}\:{the} \\ $$$${stick}\:{on}\:{the}\:{other}\:{side}. \\ $$…
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