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
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=42/2=21\ in[/tex] ------> the radius is half the diameter
[tex]\pi =3.14[/tex]
substitute
[tex]A=(3.14)(21^{2})[/tex]
[tex]A=1,384.74\ in^{2}[/tex]
step 2
Divide the cost by the area to find the price per square inch
[tex]280/1,384.74=0.20[/tex]
therefore
The price is $0.20 per square inch
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.
[tex]\text{Area of circle}=\pi r^2[/tex]
We know that diameter is two times radius, so radius of the table would be:
[tex]r=\frac{42}{2}=21[/tex]
[tex]\text{Area of circular table top}=3.14(21)^2[/tex]
[tex]\text{Area of circular table top}=3.14*441[/tex]
[tex]\text{Area of circular table top}=1384.74[/tex]
To find the cost of per square inch, we will divide $280 by area of table as:
[tex]\text{Cost per square inch}=\frac{\$280}{1384.74}[/tex]
[tex]\text{Cost per square inch}=\$0.2022[/tex]
[tex]\text{Cost per square inch}\approx \$0.20[/tex]
Therefore, the cost of per square inch is $0.20.
