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Quarter intersection Problem (Posted on 2002-10-30) Difficulty: 5 of 5
Below is an image of a square, 7 cm to a side, with four quarter-circles inscribed into it as showm.

Find the area of the shaded region in the center.

See The Solution Submitted by Dulanjana    
Rating: 4.0667 (15 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: First steps? | Comment 3 of 9 |
(In reply to First steps? by levik)

Hmmm... I tried to follow this method to a solution, but couldn't come up with anything...

It always seems that if only I could figure out how much "extra" overlap I get by adding the known pieces, I will figure out the shaded area, but I can never quite grasp it.

no offense, friedlinguini, but this problem SO begs for an "elegant" solution. Oh well.
  Posted by levik on 2002-10-31 10:58:44

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