Find the radius of a circle. The radius of your rug is the measurement from the exact center of the rug to any point on the edge or perimeter. Since you would need an extremely large compass to get an accurate measurement of the radius, it's best to find the diameter and divide it by two. Therefore, if the diameter of your rug is 4 feet, the radius is 2 feet because four divided by two is two.
Find the circumference of a circle by multiplying pi by the diameter of the circle. You may remember from elementary mathematics that the value of pi = 3.14. Therefore, if the diameter of your rug is 4 feet, multiply 4 times 3.14.
4 x 3.14 = 12.56 feet.
Find the area of a circle by multiplying pi or 3.14 times the square of the radius. If the radius of your rug is 2 feet, you'll get the square of the radius by multiplying 2 feet by itself, which equals 4 feet.
3.14 x 4 = 12.56 feet.