
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
April 16th, 2011, 06:15 PM  #1 
Newbie Joined: Apr 2011 Posts: 1 Thanks: 0  Area of square with convex parts  area of circle
I need to find the area of the blue in this image where n = whatever. I'm having a really hard time. n is the number of times where an edge of one of the squares is touching the edge of the circle. The diameter of the circle is 1, and I think that the right first move is to break it up so we are only seeing one quadrant of the square/circle. We can then think of the area missing from blue in this certain quadrant as a bunch of small squares where the amount of small squares is (n^2+n)/2 (triangular numbers). The next step is the most difficult, and that is finding the area of each of these small squares. Can anyone help me solve this or get me thinking in the right direction? Thanks! 
April 17th, 2011, 04:25 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 19,183 Thanks: 1647 
How is the blue area constructed when n = 2? Even if n is required to be a triangular number, it's not clear how the blue shape is constructed.


Tags 
area, circle, convex, parts, square 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Area enclosed by a semicircle and a quarter circle  yeoky  Algebra  4  May 3rd, 2014 01:06 AM 
convex pentagon area  vegasgunner  Algebra  1  December 1st, 2013 06:15 PM 
Maximum Area of Circle and Square  zerostalk  Algebra  6  January 10th, 2012 08:06 PM 
divide a triangle in two parts with the same area  MG85  Algebra  4  February 9th, 2010 03:25 PM 
area of eq. triangle vs. area of square  captainglyde  Algebra  1  February 19th, 2008 08:55 AM 