perplexus.info :: Geometry : A square with a circle with a point

A square with a circle with a point (Posted on 2006-11-25)

You draw a square. Then, you draw the largest possible circle, tangent to all four sides. If the lower left corner of the square is at (0,0), and the sides of the square are parallel to the coordinate axis, the point (2,1) is on the circle, within the square.

What is the radius of the circle?

Submitted by Federico Kereki

Rating: 3.3333 (3 votes)

Solution: (Hide)

If the radius of the circle is R, then (R-2)^2+(R-1)^2=R^2, so R^2-6R+5=0; R=5 is the answer, while R=1 would have the point not within the square.

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

Subject	Author	Date
Puzzle Answer	K Sengupta	2022-05-28 08:28:38
re(2): Circular Argument (yeah but...)	Kenny M	2006-11-27 19:33:09
Relaxing a constraint	Steve Herman	2006-11-26 09:15:09
re: Circular Argument	Federico Kereki	2006-11-26 08:39:34
Circular Argument	Kenny M	2006-11-26 07:43:54
Semantics and Limits	brianjn	2006-11-26 06:51:44
re: semantics	Jyqm	2006-11-25 20:05:58
semantics	Larry	2006-11-25 15:00:40
re(2): Solution (other half)	Jyqm	2006-11-25 10:16:16
I beg to differ	Old Original Oskar!	2006-11-25 09:53:14
Solutoin (nothing really new)	Dej Mar	2006-11-25 09:20:05
graphical interpretation	Larry	2006-11-25 08:37:04
re: Solution (pt. 2) (spolier)	Steve Herman	2006-11-25 07:53:03
re: Solution (other half)	Kenny M	2006-11-25 07:47:54
Solution	Jyqm	2006-11-25 07:38:43

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