perplexus.info :: Geometry : Three Circles

Three Circles (Posted on 2004-07-28)

Three circles of radius 6, 7, and 8 are externally tangent to each other. There exists a smaller circle tangent to all three (in the space created between the three original circles).

What is the radius of this smallest circle?

No Solution Yet Submitted by ThoughtProvoker

Rating: 3.0000 (3 votes)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Answer	K Sengupta	2022-03-22 01:44:04
Computer solution using Heron	Larry	2019-11-18 11:29:59
simple yet elegant	David	2004-08-01 19:29:33
re(2): Inversion	Bractals	2004-07-30 20:42:26
Veefessional strikes again!	Vee-Liem Veefessional	2004-07-30 02:45:59
re: Inversion	Thalamus	2004-07-29 11:43:51
Inversion	Bractals	2004-07-29 10:16:04
numerical answer	Charlie	2004-07-28 15:47:59
Soddy's Circles	Oskar	2004-07-28 12:29:07

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