How many circles of 1 inch in diameter can fit inside a circle of diameter of 9 inches?

How many 1-inch circles in diameter can fit inside a circle of diameter of 9 inches? How many 1 inch diameter circles that fit into a circle of diameter 9 inches? Furthermore, it would be nice to know the process of finding the answer, so you can talk to different diameters.

Put a penny in the table. surround the coin with a ring of 6 pence. Cent center touches each of the other six. This is the most compact. Add another layer of coins along the outside. The most that can add is 12, in a hexagon. Add more layers of coins. Note that the fourth layer, all the "corners" touch pence the circle, registration as a hexagon in the circle. You can not add more layers. Count the pennies, layer by layer. Center: 1 layer 1: layer 6 2: 12 Layer 3: 18 Layer 4: 24 Total: 61 The number of 1-inch circles that can fit within a 9-inch circle is 61. Http: / / www.flickr.com/photos/dwread/2766310967/

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