# Thread: how many circles?

1. ## how many circles?

How many circles may have one point in common?

My answer is infinitely many... is this correct sir/ma'am?

thanks

2. Originally Posted by rcs
How many circles may have one point in common?

My answer is infinitely many... is this correct sir/ma'am?

thanks
yep

3. Hello, rcs!

What a sloppy question!

How many circles may have one point in common?

My answer is infinitely many...

What do they mean by "how many circles"?

We can have 73 circles with one point in common.
. . $\bigcirc\;\circ\!\!\bigcirc\;\circ\;\bigcirc\;.\;. \;.$

We can have 257 circles with two points in common.
. . $\circ\;\bigcirc\;\circ\;\bigcirc\!\!\!\!\bigcirc\; \circ \;\bigcirc \;.\;.\;.$

We can have 3,456 circles with no points in common.
. . $\circ \; \bigcirc \; \circ \;\bigcirc \;.\;.\;.$

4. This image offers a demonstration: