Final answer:
When the diameter of a round table is determined to within 1%, the area of the table is known to within approximately 3%. It is better to determine the radius to within 1% to have a more accurate knowledge of the area of the table.
Step-by-step explanation:
When the diameter of a round table is determined to within 1%, the area of the table is known to within approximately 3%.
To find the area of a circle, we use the formula A = πr2. If the diameter is known to within 1% (which means the radius is also known to within 1%), the area can be calculated with an uncertainty of approximately 3%.
Therefore, it would be better to determine the radius to within 1% if we want to have a more accurate knowledge of the area of the table.