Respuesta :

The area of the rug is 28.28ft^2

Data given

  • diameter = 6ft
  • radius = d/2 = 6/2 = 3ft
  • π = 3.142

Area of a Circle

To solve this problem, we have to use the formula of area of a circle which is given as

[tex]A = \pi r^2[/tex]

Substitute the values and solve for the area

[tex]A = \pi r^2\\A = 3.142 * 3^2\\A = 28.28ft^2[/tex]

The closest area of the rug is 28.28ft^2

learn more on area of a circle here;

https://brainly.com/question/15673093