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!

## Answer This Question

## Related Questions

- math URGENT!!!!!!!!!!!! - a 12x12-inch square is divided into n^2 congruent ...
- Calc - A 100 inch piece of wire is divided into 2 pieces and each piece is bent ...
- Math - A square measures 12 cm x 12 cm and is divided into four equal squares....
- Math!! - A square quilt for a child's bed has a border made up of 32 pieces with...
- Math - A square, where s is an odd integer, is divided into unit squares. All ...
- Math - A square, where s is an odd integer, is divided into unit squares. All ...
- math - A circle is inscribed in triangle ABC with sides a, b, c. Tangents to the...
- math - A square measures 12 cm x 12 cm and is divided into four equal squares. ...
- math - Area A sequence of smaller squares is formed by connecting the midpoints ...
- math - Area A sequence of smaller squares is formed by connecting the midpoints ...

More Related Questions