SOLUTION: One circular table has a diameter of 9ft, and another circular table has a diameter of 14ft. How much greater is the area of the larger table? round to the nearest whole number.

Algebra ->  Circles -> SOLUTION: One circular table has a diameter of 9ft, and another circular table has a diameter of 14ft. How much greater is the area of the larger table? round to the nearest whole number.      Log On


   

Question 618616: One circular table has a diameter of 9ft, and another circular table has a diameter of 14ft. How much greater is the area of the larger table? round to the nearest whole number.
Found 2 solutions by lwsshak3, Alan3354:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
One circular table has a diameter of 9ft, and another circular table has a diameter of 14ft. How much greater is the area of the larger table? round to the nearest whole number.
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Area of a circle=πr^2 or πd^2/4
r=radius
d=diameter
That is, area of a circle is proportional to the square of the radius or diameter.
For given problem:
The 14 ft diameter table will have an area (14/9)^2≈2.4 times greater than the area of the 9 ft table

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
One circular table has a diameter of 9ft, and another circular table has a diameter of 14ft. How much greater is the area of the larger table? round to the nearest whole number.
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The difference is
pi%2A7%5E2+-+pi%2A4.5%5E2+=+49pi+-+20.25pi+=+28.75pi
=~ 90 sq ft