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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)

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Some Thoughts First steps? | Comment 1 of 9
So, let's see...

A single quarter's area is πR²/4, or 49π/4. (Let's call this Aq)

The area of the square is 49. Designate this as As

Consider the circle quarters in the upper left and lower-right corner. Together, they cover the whole square. The area of the overlap between them is (2*Aq) - As

Not yet sure what comes next...
  Posted by levik on 2002-10-31 01:48:10
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