Freehand Geometry: (December 7 – December 14, 2013)


Sum of Infinite Area

A regular hexagon has a side 6 cm. A smaller hexagon was drawn by connecting the midpoints of the side of the larger hexagon. The process is repeated continuously. What is the sum of their areas?


Comment your answer below. Note: I am the only one who can see your comments. You are only allowed to comment your answer once. Comments will be revealed next week December 14,2013(Philippines Time).You can also send your answer to  Please don’t forget to include the name of your school.Names of those who commented the correct answer will be posted in this page immediately after the answer has been reviewed. Happy Solving!


Correct answer were submitted by:

1. John Rey Jimenez. Negros Occidental High School

2. Arsh Singh.

3. Jomari Tan. DLSU

4. Marlon Chris Malicsi. UST

5. JM Maninang. UST

6. Jhay Dela Cruz. PUP -Taguig

7. Nabeel Kabeer Leo XIII  (school/affiliation please)

8. Muthu Krishna. Kle college , Bengaluru

9. Fo Chik Yong.  (school/affiliation please)

10. Shamik Banerjee. Kendriya Vidyalaya Cossipore

11. Russelle Guadalupe. UP Diliman

12. Carlo Jay Vizcarra. Pamantasan ng Lungsod ng Maynila



Blogger and a Math enthusiast. Has no interest in Mathematics until MMC came. Aside from doing math, he also loves to travel and watch movies.

Latest posts by Dan (see all)

You may also like...

28 Responses

  1. Gio Alfred Gloria. Cauayan City National High School says:


  2. Gio Alfred Gloria. Cauayan City National High School says:

    108√2 cm^2

  3. JM Maninang says:

    John Michael Maninang

    162 sqrt (3)

  4. JM Maninang says:

    Oppps. Try again. :)) 81 sqrt(3)

  5. JM Maninang says:

    Last try. :)) 216 sqrt(3)

  6. Jhay Dela Cruz says:

    216sq.root of 3

    PUP -Taguig

  7. 374.1229744348773 cm^2

  8. Shamik Banerjee says:

    216*sqrt(3) = 374.1229744 square cm

  9. Shamik Banerjee says:

    216*sqrt(3) = 374.1229744 square cm

    Kendriya Vidyalaya Cossipore

  10. Anuraag says:


  11. Carlo Jay Vizcarra says:

    216sqrt(3) – PLM

  12. kryptonj123 says:

    No more comments. Next problem will be publish tonight.

    the correct answer is $latex 216\sqrt{3} cm^2$

    Solution will be presented later.

  13. 3pEMEQ you got a very wonderful website, Glad I discovered it through yahoo.

  14. 357077 573108A person necessarily lend a hand to make severely posts Id state. This really is the really very first time I frequented your internet page and to this point? I surprised with the analysis you produced to make this certain submit extraordinary. Magnificent method! 174030

  15. 702753 481449You produced some 1st rate factors there. I regarded on the internet for the dilemma and located a lot of people will associate with along with your internet site. 844958

  16. Heya i’m for the first time here. I found this board
    and I find It really useful & it helped me out a
    lot. I hope to give something back and aid others like you helped me.

  17. Im grateful for the post.Thanks Again. Will read on…

  18. Mora says:

    Very good blog you have here but I was wondering if you
    knew of any discussion boards that cover the same topics discussed here?
    I’d really love to be a part of community where I can get feedback from other knowledgeable individuals that share the same interest.

    If you have any suggestions, please let me know. Kudos!

  19. An impressive share! I have just forwarded this onto a colleague who has been conducting a little
    homework on this. And he in fact bought me breakfast
    simply because I discovered it for him… lol.
    So allow me to reword this…. Thank YOU for the meal!!
    But yeah, thanks for spending time to talk about this issue here on your web page.

  20. says:

    For most up-to-date news you have to pay a visit internet and on internet I found this site as a finest
    web site for most up-to-date updates.

  21. I like what you guys tend to be up too. This type of clever work and reporting!

    Keep up the very good works guys I’ve included you guys to my personal blogroll.

  22. card scanner says:

    Asking questions are in fact pleasant thing if you are not understanding anything entirely, however this piece of writing presents fastidious understanding even.

  23. Rod says:

    Pretty section of content. I just stumbled upon your website and in accession capital to assert that I
    get in fact enjoyed account your blog posts.
    Anyway I will be subscribing to your augment and even I achievement you access consistently rapidly.

  24. Hey there! Do you know if they make any plugins to help with Search Engine Optimization? I’m trying to get my blog to rank for some targeted keywords but I’m not seeing very good gains.
    If you know of any please share. Appreciate it!

  25. Tara says:

    This is a topic which is near to my heart… Many thanks!
    Where are your contact details though?

  26. Very informative blog post.

  27. says:

    Hmm is anyone else having problems with the pictures
    on this blog loading? I’m trying to figure out if its a problem on my end
    or if it’s the blog. Any responses would be greatly appreciated.

Leave a Reply

Your email address will not be published. Required fields are marked *