Yes, pi is known with very high accuracy (to thousands of decimal digits). However, it is not possible to express it precisley using any finite number of decimal digits.
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main fraction:22/7 most accurate fraction:355/133
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(Pi) is not an 'infinite number'. It just can't be written exactly with any finite number of digits. But there are plenty of digits available, to make your division as accurate as you want it. You can never get an exact answer, just like you can never write the exact value of (pi), but you can get as close as anyone will ever need to get.
22/7
A = (pi)r2 A = (3.141592654)(2.25) A = 7.068583471 u2 *note* this answer is not completely accurate as pi is a non-terminating number it would perhaps be better to express answer as 2.25pi