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Topic: Problem of the Week, February 28 to March 4
Replies: 0

 Problem of the Week Posts: 292 Registered: 12/3/04
Problem of the Week, February 28 to March 4
Posted: Feb 28, 1994 4:10 PM

The problem of the week is a regular feature here at the geometry forum.
Each weekend a high school level geometry problem will be posted, and the
following weekend a summary of solutions and their authors will be posted.

Please do not post solutions to the problem of the week; instead mail your
necessary/possible to pow@forum.swarthmore.edu (replying to this message
will also work). Solutions should be received by midnight Friday so they
can be combined and posted over the weekend.

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Problem of the Week, February 28 to March 4

o
o Jill and Jimmy were on their lunch break from the
O bridge building assignment. Jimmy was blowing soap
_ bubbles to pass the time. One of Jimmy's bubbles
' ` _ turned out to look a little like the one at the left.
/ o \ ' `
| \ Suppose Jimmy's "double bubble" consists of two
\ | spheres whose centers are 14 cm apart. If the two
` _ '\ spheres intersect in a circle whose radius is 12 cm,
` o / and the radius of one sphere is 13 cm, what is the
` _ ' radius of the other sphere?
o
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