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Question Number 204374 by mr W last updated on 14/Feb/24

Commented by mr W last updated on 15/Feb/24

The radius of the big sphere (say   the Earth) is R and the radius of  the small sphere (say theMoon) is r.  find the maximum area of the  shadow which the Moon casts on   the Earth.

$${The}\:{radius}\:{of}\:{the}\:{big}\:{sphere}\:\left({say}\:\right. \\ $$$$\left.{the}\:{Earth}\right)\:{is}\:{R}\:{and}\:{the}\:{radius}\:{of} \\ $$$${the}\:{small}\:{sphere}\:\left({say}\:{theMoon}\right)\:{is}\:{r}. \\ $$$${find}\:{the}\:{maximum}\:{area}\:{of}\:{the} \\ $$$${shadow}\:{which}\:{the}\:{Moon}\:{casts}\:{on}\: \\ $$$${the}\:{Earth}. \\ $$

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