WOLFRAM|DEMONSTRATIONS PROJECT

Making the Three Areas Defined by Congruent Overlapping Circles Equal

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centers
edges
areas
equalize areas
d
1.
Overlap two congruent circles until the three areas formed are equal. What is the distance between the centers of the two circles, and what is the common area of the three regions? For simplicity, use unit circles (radius 1). The slider moves one of the circles and displays the distance between their centers. The checkboxes allow the display of circle centers, boundaries, and the numerical values of the areas.