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If the diameter of a round table is determined to within 1%, how well is its area known? Would it be better to determine its radius to within 1%?

User Francoisr
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1 Answer

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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.

User Tyleax
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