In the diagram, two of the three dark shaded circles have diameters of units, and the third has a diameter of . What must be the length of the diameter of the white shaded circle to make the sum of the dark shaded areas , and equal to the white shaded area?
Source: NCTM Mathematics Teacher, February 2006
area of + area of + area of = area of white circle – area of – area of – area of
(area of + area of ) + (area of + area of ) + (area of + area of ) = area of white circle
where is the radius of the white circle
Diameter of white circle =