The solution would be like this for this specific problem:
 A (table) = 4(24.26) * 6(24.26)
 = 14,125.1424
  
 A (quarter) = pi*r2
 = 469.9
  
 Total area (quarters) = 462.24 * 24
 = 11,093.76
  
 Area (not taken) = A (table) – Total Area (quarters)
 = 14,125.1424 - 11,093.76
 = 3,031.3824
 = 3,031.38
 The area of the table not covered in quarters is 3,031.38 mm2. 
 
 I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.