this depends on the size of the bricks. Assuming 4x9 inch bricks then
3.14 x (15/2)2 x 1212 = 25434 sq inches
1 brick is 4 x 9 = 36 sq in.
25434 / 36 = 706.5 bricks
but there would be some waste from cutting the bricks to make a circle.
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you would need 12...
12x13/12=13
A 12 x 12 inch brick is 1 square foot. A 20 x 20 (foot) patio is 400 square feet, so you would need 400 bricks.. this assumes you are butting the bricks fairly tight, not leaving large seperations between them, etc...