Hi,

This is off topic.  My wife was observing a high school math
class and the homework assignment was as follows.  She asked me if
I could answer it.  My answer is .075, but I could be wrong.

Here is the question:

Assume 3 unit circles (radius = 1).  A point on the perimeter of each
circle is tangent to the other two perimeters.  There is another circle
inscribed in the middle space defined by the three larger circles.
The perimeter of this smaller circle has points tangent to the
perimeter of each of the three larger circles.  Find the area of the
small circle.

Thanks for any help!

Jeff