top button
Flag Notify
    Connect to us
      Facebook Login
      Site Registration Why to Join

    Get Free Puzzle Updates

Facebook Login
Site Registration

9 unit circles are packed into a square. What is the length of longest path connecting two opposite corners of square?

+1 vote

Nine unit circles are packed into a square, tangent to their neighbors and to the square. What is the length of the longest smooth path connecting two opposite corners of the square?

nine squares

- The path must be continuous and follow the lines in the diagram; that is, it must be made up of portions of either the circles or the outside square.
- The path may not change direction suddenly.
- The path may not contain any loops.
- The path may not touch or cross itself at any point.

posted May 15 by Pushpak Chauhan

Share this puzzle
Facebook Share Button Twitter Share Button Google+ Share Button LinkedIn Share Button Multiple Social Share Button

1 Solution

+1 vote

enter image description here

From the bottom end to the top the distance between the corners can be expressed as a sum shown below
1+π+π+(π/2)+(3π/2)+π+(π/2)+(3π/2)+π+(π/2)+1 = (2+ 17(π/2)).

solution May 16 by Tejas Naik

Similar Puzzles
0 votes

In a unit square, two quarter circles are drawn, centered at two opposite vertices, What is the area of the oval-shaped region?

What is the area of oval shaped region

0 votes

Two circles are drawn inside a square with side length 2 + SQRT(2) as shown in the figure. Let the radius of the larger circle be R and the radius of the smaller circle be r . Find the value of R + r

enter image description here

0 votes

A paper is in the form of a square of side 20 m. Semi-circular are drawn inside the square paper on two opposite sides as diameter. If semi-circular portions are cut off. then what would be the area of the remaining paper?

+1 vote

In the image below there are two tangent semicircles. The side length of the square is 36cm.
Radius of Yellow Circle

What is the length of the radius of the yellow circle?

+1 vote

7 non-overlapping unit circles are inscribed inside a large circle as shown below. Find the area of the shaded region?

enter image description here

Contact Us
+91 9880187415
#470/147, 3rd Floor, 5th Main,
HSR Layout Sector 7,
Bangalore - 560102,
Karnataka INDIA.