Posted by **dss** on Thursday, November 15, 2012 at 10:19pm.

a 12x12-inch square is divided into n^2 congruent squares by equally spaced lines parallel to its sides. circles are inscribed in each of the squares. find the sum of the areas of the circles... please answer and explain how you got this answer!!!

- math URGENT!!!!!! -
**Steve**, Friday, November 16, 2012 at 12:23am
if there are n squares per side, each square is 12/n inches square.

For a square of side s, the inscribed circle has radius s/2.

So, the circles add up to

n^2 (pi (12/2n)^2) = pi n^2 36/n^2 = 36pi

Note that it is the same area as for a single inscribed 6-inch circle!

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