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mathslover
Group Title
The radius of the first circle is 1 cm, that of the second is 1/2 cm and that of the third is 1/4 cm and so on indefinitely. The sum of the areas of the circles is ?
 one year ago
 one year ago
mathslover Group Title
The radius of the first circle is 1 cm, that of the second is 1/2 cm and that of the third is 1/4 cm and so on indefinitely. The sum of the areas of the circles is ?
 one year ago
 one year ago

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ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
\[\pi + {\pi \over 4} + {\pi \over 16}\cdots\]
 one year ago

mathslover Group TitleBest ResponseYou've already chosen the best response.1
You mean to say like this : \[\large{S = \pi + \frac{\pi }{4} + \frac{\pi}{16} + .... }\]
 one year ago

mathslover Group TitleBest ResponseYou've already chosen the best response.1
But what next?
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
I think it's approaching something.
 one year ago

mathslover Group TitleBest ResponseYou've already chosen the best response.1
Well i think we can take : infinite geometric progression ...
 one year ago

mathslover Group TitleBest ResponseYou've already chosen the best response.1
pi ( 1 + 1/4 + 1/16 + .... )
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
Where did you get this question?
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
http://en.wikipedia.org/wiki/1/4_%2B_1/16_%2B_1/64_%2B_1/256_%2B_%C2%B7_%C2%B7_%C2%B7
 one year ago

mathslover Group TitleBest ResponseYou've already chosen the best response.1
I have a book, Math IQ Challenge
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
It'd be \(\dfrac{4}{3}\pi\)
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
lol  we solved it before asking it on M.SE :)
 one year ago

mathslover Group TitleBest ResponseYou've already chosen the best response.1
:) \[\large{ S _\infty = \frac{a}{1r}}\]  infinite geometric series a = 1 r = 1/4 1 / ( 1 1/4 ) = 1/ (3/4) = 4/3
 one year ago

mathslover Group TitleBest ResponseYou've already chosen the best response.1
Yeah ... thanks @ParthKohli
 one year ago
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