Respuesta :
The required area of the sculpture that is shaped like a circle is [tex]78.5m^2[/tex].
Given that,
Jessie designed a sculpture that is shaped like a circle,
The circumference of the sculpture is 10π meters.
We have to determine,
Which measurement is closest to the area of the sculpture in square meters.
According to the question,
Circumference of the circle = [tex]2\pi r[/tex]
Where, circumference = [tex]10\pi[/tex]
Then,
[tex]10\pi =2\pi r[/tex]
[tex]r=\frac{10\pi }{2\pi }[/tex]
[tex]r=5m[/tex]
Therefore,
Jessie designed a sculpture that is shaped like a circle.
Area of the circle = [tex]\pi r^2[/tex]
Where, r = 5m
Then,
Area of the circle is given by,
[tex]=\pi r^2[/tex]
[tex]=3.14[/tex] × [tex](5)^2[/tex]
[tex]=3.14[/tex] × [tex]25[/tex]
[tex]=78.5m^2[/tex]
Hence, The required area of the sculpture that is shaped like a circle is [tex]78.5m^2[/tex].
To know more about Circle click the link given below.
https://brainly.com/question/20908820
