Jose' has a circular rug on the floor of his bedroom. If the area of the rug is 16π square feet, what is the diameter of the rug?

Area of a circle is πr^2

so

16π = πr^2

the π's in both sides cancel out as it is a constant.

so it's

16 = r^2

r = √16

r = 4

so if radius so 4 then diameter is 8

because Radius is half the diameter.