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Question Number 182429 by mr W last updated on 09/Dec/22
Commented by mr W last updated on 09/Dec/22
$${two}\:{circles}\:{with}\:{radius}\:{r}\:{have}\:{a} \\ $$$${distance}\:{of}\:\mathrm{3}{r}\:{from}\:{center}\:{to}\:{center}. \\ $$$${two}\:{points}\:{are}\:{randomly}\:{selected}\: \\ $$$${inside}\:{the}\:{circles}. \\ $$$$\left.\mathrm{1}\right)\:{what}\:{is}\:{the}\:{average}\:{distance}\: \\ $$$${between}\:{both}\:{points}? \\ $$$$\left.\mathrm{2}\right)\:{what}\:{is}\:{the}\:{probability}\:{that}\:{the} \\ $$$${distance}\:{between}\:{both}\:{points}\:{is}\:{less} \\ $$$${than}\:\mathrm{3}{r}? \\ $$