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Tangential Circles


Two larger circles with equal radii pass through each other's centers. A smaller circle can be created inside the overlapping region so that it is tangent to the other circles. (Tangent means that the circles touch each other but do not cross over each other, nor do they leave any gaps.) Compare the area and circumference of the smaller circle to the area and circumference of the larger circle.


 Extensions

How do the results change if the two larger circles do not have equal radii?


 Related External Resources

Congruent Chords
This problem asks you to find the area of two circles that are externally tangent, given information about congruent chords in their circles.



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