SSC Selection Post 2022 PYQ — Question 51

SSC Selection Post - Matriculation Level 2022 - 2 Feb 2022 - Shift 3 • Quantitative Aptitude • Q51

What is the area (in m2)) of the circular path of uniform width of 1.4 m surrounding a circular garden of diameter 126 m. (Take π = 22722\over7)

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 560.56

Diameter of garden = 126 m

Radius = 126 ÷ 2 = 63 m

Width of path = 1.4 m

Outer radius = 63 + 1.4 = 64.4 m

Area of path = π × (Outer radius² − Inner radius²)

= 22​/7 × (64.42−632) =  22​/7 × (4147.36 − 3969)

= 22/7 ×178.36 = 560.56 m2