Answer:
The area of the circular garden is approximately 7.1 square yards
Step-by-step explanation:
The given parameters are;
The area surrounding the circular garden = A rectangular grassy area
The area of the circular garden ≈ (1/2) × The base of the grassy rectangular area
The dimensions of the base of the rectangular grassy area = 6 yards by 3 yards
The diameter of the circle, D = 3 yards
The area of the rectangular grassy area = 6 yards × 3 yards = 18 yards²
∴ The approximate area of the circular garden = (1/2) × 18 yards² = 9 yards²
The area of the circular garden, A = π·D²/4
∴ A = 3.14 × (3 yards)²/4 = 7.065
The area of the circular garden, A ≈ 7.1 yd².