Answer:
The correct option which best describes this method is:
Find half of 24 to calculate the radius. Then square the radius and multiply the result by [tex]\pi[/tex]
Option D is correct option.
Step-by-step explanation:
The circumference of table top = 24 [tex]\pi[/tex] inches
We need to find area of table top
The formula used to find area is: [tex]Area = \pi r^2[/tex]
We need to find radius of tabletop.
The formula used to find circumference is: [tex]Circumference = 2\pi r[/tex]
Putting value of circumference we can find radius
[tex]Circumference = 2\pi r\\24\pi =2\pi r\\r=\frac{24\pi}{2\pi}\\r=12[/tex]
So, radius of table top = 12
Now, finding the area:
[tex]Area = \pi r^2\\Area=\pi(12)^2\\Area=3.14(144)\\Area=452.16\:inches^2[/tex]
So, the correct option which best describes this method is:
Find half of 24 to calculate the radius. Then square the radius and multiply the result by [tex]\pi[/tex]
Option D is correct option.
