Question

One circular table has a diameter of 9 ft, and another circular table has a diameter of 14 ft. How much greater is the area of the larger table? Round to the nearest whole number. about 108 ft2 about 90 ft2 about 72 ft2 about 36 ft2

Answer 1

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 2

The area of the larger table is greater by about 90 square feet.

Explanation:

The area of a circular table or circle is given as :

`A=\pi r^(2)`

Table 1:

Diameter is 9 feet. So, radius is = 9/2 =4.5 feet

Area =
`3.14*4.5*4.5=63.585` square feet

Table 2:

Diameter is 14 feet. So, radius is = 14/2 =7 feet

Area = Area =
`3.14*7*7=153.86` square feet

Now the difference between both the areas =
`153.86-63.585=90.275` square feet

As the difference has to be converted to nearest whole number, it becomes 90 square feet.

Therefore, the area of the larger table is greater by about 90 square feet.