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Geometry

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Consider the following diagram and fill in the table: It's a diagram of circles with points around the circumference based off of the table. The table reads

# of Points: 2, 3, 4, 5, 6
# of Regions: 2, 4, 8, ?, ?

For the 5 points I got 16 regions
when i use inductive reasoning there should be 32 regions for 6 points but if you draw it out there are only 30 regions. Why is this so?

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