Question

a circular marble table top has a diameter of 42 in if the table top cost $280 what is the price per square inch

Answer 1

For this case we have that by definition, the area of a circle is given by:

$A = \pi * r ^ 2$

Where:

r: It is the radius of the circle

We have as data that:

$r = \frac {42} {2} = 21 \ in$

We found the table area:

$A = \pi * (21) ^ 2\\A = \pi * 441\\A = 1384.74 \ in ^ 2$

Now, we find the cost per square inch:

$\frac {280} {1384.74} = 0.22$

Thus, the cost of the table is $0.20 per square inch.

ANswer:

The cost of the table is $0.20 per square inch.