perplexus.info :: Geometry : Circle, Circle, Sphere!

Circle, Circle, Sphere! (Posted on 2004-08-26)

A circle of radius 2 is contained in the plane y=3.

A circle of radius 4 is contained in the plane y=7.

Both circles lie on the surface of a sphere.

What is the radius of the sphere?

See The Solution Submitted by SilverKnight

Rating: 2.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: Hemispheres and Playgrounds

| Comment 7 of 8 |

Yeah, it took me the longest time to realize that the two planes INTERSECTED the sphere, and not tangent.

Posted by Jim on 2004-09-13 15:16:19

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