Solve this multiple-choice question and choose the correct option.

Annular path around a circular garden – Outer radius 21 + 3.5 m: A circular garden has radius 21 m. A path 3.5 m wide surrounds it outside. Find the area of the path (in m²).

Difficulty: Easy

50.05
57.56
52.12
none
None of these

Correct Answer: none

Explanation:

Introduction / Context:The path forms a ring (annulus). Its area equals π(R^2 − r^2), with R the outer radius and r the garden radius.

Given Data:

r = 21 m; width = 3.5 m ⇒ R = 24.5 m.

Step-by-Step Solution:

R^2 − r^2 = 24.5^2 − 21^2 = 600.25 − 441 = 159.25.Area = π * 159.25; with π = 22/7 ⇒ area = 159.25 * (22/7) = 500.5 m².

Why 'none':Given choices (≈50–58) are an order of magnitude too small; correct area is 500.5 m², so select 'none'.

Final Answer:none (Actual value: 500.5 m²)

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