Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

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

  • This Question is Closed
  1. ParthKohli Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\pi + {\pi \over 4} + {\pi \over 16}\cdots\]

    • one year ago
  2. ParthKohli Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Hmm...

    • one year ago
  3. mathslover Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    You mean to say like this : \[\large{S = \pi + \frac{\pi }{4} + \frac{\pi}{16} + .... }\]

    • one year ago
  4. mathslover Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    But what next?

    • one year ago
  5. ParthKohli Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I think it's approaching something.

    • one year ago
  6. mathslover Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Well i think we can take : infinite geometric progression ...

    • one year ago
  7. mathslover Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    pi ( 1 + 1/4 + 1/16 + .... )

    • one year ago
  8. ParthKohli Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Where did you get this question?

    • one year ago
  9. ParthKohli Group Title
    Best Response
    You've already chosen the best response.
    Medals 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
  10. mathslover Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I have a book, Math IQ Challenge

    • one year ago
  11. ParthKohli Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    It'd be \(\dfrac{4}{3}\pi\)

    • one year ago
  12. ParthKohli Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    lol - we solved it before asking it on M.SE :)

    • one year ago
  13. mathslover Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    :) \[\large{ S _\infty = \frac{a}{1-r}}\] -- infinite geometric series a = 1 r = 1/4 1 / ( 1- 1/4 ) = 1/ (3/4) = 4/3

    • one year ago
  14. mathslover Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Yeah ... thanks @ParthKohli

    • one year ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.