Final answer:
The area of a semicircle with a diameter of 17.6 yards is 121.60 square yards when using 3.14 as an approximation for π and rounding to the nearest hundredth.
Step-by-step explanation:
The diameter of a semicircle is 17.6 yards, and we are asked to calculate the semicircle's area using π ≈ 3.14. First, we find the radius by halving the diameter.
The radius (r) is half of 17.6 yards, which is 8.8 yards. The area (A) of a full circle is πr², so for a semicircle, we need to divide this by 2. Using 3.14 as an approximation for π, the formula for the area of a semicircle becomes A = (πr²)/2.
Now we calculate:
A = (3.14 × (8.8 yards)²) / 2
A = (3.14 × 77.44 yards²) / 2
A = (243.2016 yards²) / 2
A = 121.6008 yards².
After rounding to the nearest hundredth, the area is 121.60 yards².