Standard Mathematics Primary 6 Circles

A circular pond has a circumference of 88 m. A path 1 m wide is laid right around the OUTSIDE of the pond. Find the area of the path. (Take π = 22/7.)

A 154 m²
B 88 m²
C 96 m²
D 91 m²
Show Worked Solution

Worked Solution

Step 1: Find the radius of the pond. Circumference = 2πr = 88 → r = 88/(2 × 22/7) = 88 × 7/44 = 14 m. Step 2: Outer radius (with 1 m path) = 14 + 1 = 15 m. Step 3: Path area = π(R² − r²) = (22/7)(225 − 196) = (22/7)(29) = 638/7 ≈ 91 m². Answer: 91 m²

Correct answer: 91 m²

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