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Puzzle Brings... Olympic
R
i
n
g
s
Gregory V. Akulov, teacher,
Luther College High School, Regina, Saskatchewan
August 17, 2014
Resource Room
/// c0pyright
Let the
centers
of the red, blue, yellow, and green rings of the
Olympic Symbol (shown above) lie on the
arc
of
r
a
d
i
u
s
r
. If the
distance between centers of green and yellow rings is
2a
, show
that the distance between the centers of red and yellow rings is
1
\[\large \sqrt{(r+a)(r+2a)}-\sqrt{(r-a)(r-2a)}.\]
Copyright © December, 2013 by Gregory V. Akulov
1
First appeared in
Ontario Mathematics Gazette
Vol.52 #4, June 2014.
Math Central is supported by the University of Regina and the Pacific Institure for the Mathematical Sciences.
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