Interview Question: Do You Remember This?

Sample Question #248 (mathematics – geometry)
 
Wow, dude, you have a Ph.D. in math! Do me a favor, will you? My 10-year-old son was asking me this question last night but I couldn’t work it out.
 
A circle is inscribed in a square. What’s the ratio of the circle’s area to the square’s area?
 
(Comment: okay, I pose the question in a dramatic context, but this kind of question can be asked of any candidate, because everyone studied basic geometry back in elementary school!)
Advertisements
This entry was posted in Sample Qs. Bookmark the permalink.

3 Responses to Interview Question: Do You Remember This?

  1. Brett says:

    ANSWER
     
    Let r be the radius of the circle. Its area is pi*r^2. The square’s area is (2r)^2. Hence the ratio is pi/4.
     

  2. Stephen says:

    The problem is more fun if the square is inscribed in a circle..

  3. Brett says:

    What’s the answer to that one, Stephen?  🙂
    -brett

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s