Jose has circular rug on the floor of his bedroom. if the area of the rug is 16pie square feet, what is the diameter of the rug?

By definition the area of a circle is given by:

A = pi * r ^ 2

Rewriting:

A = pi * (d / 2) ^ 2

A = (pi / 4) * (d) ^ 2

Where,

d: diameter.

By clearing the diameter we have:

d = ((4 / pi) * A) ^ (1/2)

Substituting the area

d = ((4 / pi) * (16)) ^ (1/2) = 4.51 feet

answer:

The diameter of the rug is 4.51 feet