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

$0.20

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=(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}=(\$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

The price is $0.20 per square inch

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