5 circles inside 1 large circle

  • Thread starter Thread starter russel.arnold
  • Start date Start date
  • Tags Tags
    Circle Circles
Click For Summary
The discussion focuses on the optimal arrangement of five smaller circles within a larger circle, emphasizing the most compact configuration. Participants request additional configurations for various project needs, including linear arrangements and equal spacing around a central point. Suggestions for alternative layouts are welcomed, indicating flexibility in design requirements. The conversation highlights the importance of both compactness and adaptability in circle arrangements. Overall, the exchange fosters collaboration on geometric design solutions.
russel.arnold
Messages
38
Reaction score
0
What is the most compact way of arranging 5 circles inside 1 large circle. If possible, show it by drawing a picture.
 
Mathematics news on Phys.org
http://www2.stetson.edu/~efriedma/cirincir/
 
@Greathouse

u r truly great, can u suggest some more configurations? I need them for my project.
thanks
 
I showed the most compact way, any particular restrictions on the others? Examples: 5 circles in a line, or equally spaced about a point.
 
I think that should work..thanks for the help! :)
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

Similar threads

High School Calculate distance between ends of a circle segment
  • · Replies 22 ·
Replies
22
Views
3K
MHB Area of multiple circles inside a rectangle
  • · Replies 3 ·
Replies
3
Views
2K
MHB Adam's Circles: Splitting & Connecting Segments
  • · Replies 6 ·
Replies
6
Views
1K
Undergrad Geometry problem of interest with a 3-4-5 triangle
  • · Replies 59 ·
2
Replies
59
Views
34K
High School Inscribing a circle in an Oblique Square (Drafting)
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Is it possible to calculate this geometrical relationship between circles?
  • · Replies 7 ·
Replies
7
Views
2K
MHB Find the diameter of one circle
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Eccentric anomaly of ellipse-circle intersections
  • · Replies 4 ·
Replies
4
Views
2K
MHB The smallest circle that two parts of a semi-circle can fit into?
  • · Replies 1 ·
Replies
1
Views
1K
MHB Tangent line to circle making 30º with a second circle
  • · Replies 2 ·
Replies
2
Views
2K