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

Answer:

$0.20

Step-by-step explanation:

We have been given that a circular marble table top has a diameter of 42 in.

First of all, we will find the area of the table top using area of circle formula.

$\text{Area of circle}=\pi r^2$

We know that diameter is two times radius, so radius of the table would be:

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

$\text{Area of circular table top}=3.14(21)^2$

$\text{Area of circular table top}=3.14*441$

$\text{Area of circular table top}=1384.74$

To find the cost of per square inch, we will divide $280 by area of table as:

$\text{Cost per square inch}=\frac{\ 280}{1384.74}$

$\text{Cost per square inch}=\ 0.2022$

$\text{Cost per square inch}\approx \ 0.20$

Therefore, the cost of per square inch is $0.20.

Answer 2

Answer:

The price is $0.20 per square inch

Step-by-step explanation:

step 1

Find the area of the circular table top

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=42/2=21\ in$ ------> the radius is half the diameter

$\pi =3.14$

substitute

$A=(3.14)(21^{2})$

$A=1,384.74\ in^{2}$

step 2

Divide the cost by the area to find the price per square inch

$280/1,384.74=0.20$

therefore

The price is $0.20 per square inch