The area around the Barstow-Daggett Airport supports some limited farming in the middle of the Mojave Desert. Of course, the crops require irrigation. The farmers use center pivot irrigation systems. When viewed from above, the cultivated areas appear as big green circles in the midst of square desert tracts.

This puzzle involves circles and squares. The area of the large square is 100. You are asked to determine the area of the small square. Be aware that it is possible to solve this puzzle without algebra and without the Pythagorean Theorem. Try to find the simple method for solving it.