To find the area of a circular rug, you can use the formula:
\[ \text{Area} = \pi r^2 \]
where \( r \) is the radius of the circle. Since the diameter of the rug is 5 feet, we can find the radius by dividing the diameter by 2:
\[ r = \frac{5}{2} = 2.5 \text{ feet} \]
Now, substituting the radius into the area formula:
\[ \text{Area} = 3.14 \times (2.5)^2 \]
Calculating \( (2.5)^2 \):
\[ (2.5)^2 = 6.25 \]
Now substitute back into the area formula:
\[ \text{Area} = 3.14 \times 6.25 = 19.625 \]
Rounding to one decimal place, the area is approximately:
\[ \text{Area} \approx 19.6 \text{ ft}^2 \]
Therefore, the rug will take up 19.6 ft² in floorspace.