TOT 526 1997 Spring J O3 difference of sum of areas of circle pieces
Source:
September 11, 2024
geometryareas
Problem Statement
The vertical diameter of a circle is moved a centimetres to the right, and the horizontal diameter of this circle is moved centimetres up. These two lines divide the circle into four pieces. Consider the sum of the areas of the largest and the smallest pieces, and the sum of the areas of the other two pieces. Find the difference between these two sums. (G Galperin, NB Vassiliev)