Answer :
Final answer:
The area of a semi-circle with a 5-yard radius is approximately 39.3 square yards. You calculate it by finding the area of a full circle with the formula A = πr² and then dividing the result by 2. Hence the correct option is b) 39.3 square yards
Explanation:
To find the approximate area of a semi-circle with a 5-yard radius, we first need to calculate the area of a full circle using the formula A = πr². The area of a full circle with a radius (r) of 5 yards is:
A = π × (5 yd)² = π × 25 yd² ≈ 78.5 square yards.
Since a semi-circle is half of a full circle, we divide this number by 2 to get the area of the semi-circle:
Area of semi-circle = ½ × 78.5 square yards ≈ 39.3 square yards
Hence, the correct answer to the student's question is option b) 39.3 square yards.
