Final answer:
The radius of the rug is approximately 3.55 feet (to the nearest tenth).
Step-by-step explanation:
The circumference of a circle is given by the formula:
C = 2πr
where C is the circumference and r is the radius. We are given that the circumference of the rug is 22 feet, so we can use this information to find the radius:
22 = 2πr
Dividing both sides of the equation by 2π gives:
r = 22 / (2π)
Using a calculator to approximate π to the nearest tenth (3.1), we have:
r ≈ 22 / (2 * 3.1)
r ≈ 3.55
Therefore, the radius of the rug is approximately 3.55 feet (to the nearest tenth)