For this case we have that by definition, the area of a circle is given by:
[tex]A = \pi * r ^ 2[/tex]
Where:
r: It is the radius of the circle
We have as data that:
[tex]r = \frac {42} {2} = 21 \ in[/tex]
We found the table area:
[tex]A = \pi * (21) ^ 2\\A = \pi * 441\\A = 1384.74 \ in ^ 2[/tex]
Now, we find the cost per square inch:
[tex]\frac {280} {1384.74} = 0.22[/tex]
Thus, the cost of the table is $0.20 per square inch.
ANswer:
The cost of the table is $0.20 per square inch.