Final answer:
To find the area of a circle with a 13.2-yard diameter, we calculate the radius (6.6 yards) and use the formula A = πr² with π approximated as 3.14. The computed area is 136.97 square yards, which is rounded to 137.00 square yards.
Step-by-step explanation:
To calculate the area of a circle with a diameter of 13.2 yards, we first determine the radius by dividing the diameter by 2, which gives us 6.6 yards. We use the formula A = πr², where A is the area, π (pi) is approximately 3.14, and r is the radius of the circle. Thus, the area is A = 3.14 × (6.6 yards)². Performing the calculation:
A = 3.14 × (6.6 yards × 6.6 yards) = 3.14 × 43.56 yards² = 136.97 yards².
Therefore, rounding to the nearest hundredth, the area of the circle is approximately 137.00 square yards.