The required measurement is closest to the area of the toy is [tex]113.04\ inches^{2}[/tex]
Given that,
Deon is playing fetch with his dog with a toy that is shaped like a circle,
The circumference of the sculpture is 12π inches.
We have to determine,
Which measurement is closest to the area of the toy in square inches.
According to the question,
Circumference of the circle = [tex]2\pi r[/tex]
Where, circumference = [tex]12\pi[/tex]
Then,
[tex]12\pi =2\pi r \\\\r = \dfrac{12\pi }{2\pi }\\\\r = 6\ inches[/tex]
Therefore,
Deon is playing fetch with his dog with a toy that is shaped like a circle.
Area of the circle = [tex]\pi r^{2}[/tex]
Where, r = 6inches
Then,
Area of the circle is given by,
[tex]= \pi r ^{2}\\\\= 3.14 \times (6)^{2}\\\\= 3.14 \times 36\\\\= 113.04\ inches^{2}[/tex]
Hence, The required measurement is closest to the area of the toy is [tex]113.04\ inches^{2}[/tex].
To know more about Circle click the link given below.
https://brainly.com/question/20902835
