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A Circular Park, 42 M in Diameter, Has a Path 3.5 M Wide Running Around It on the Outside. Find the Cost of Gravelling the Path at Rs. 4 per M2 - Mathematics

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MCQ

Choose the most appropriate option:

A circular park, 42 m in diameter, has a path 3.5 m wide running around it on the outside. Find the cost of graveling the path at Rs. 4 per m2

Options

  • Rs. 2002

  • Rs. 1652

  • Rs. 1672

  • Rs. 2048

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Solution

Rs. 2002

Explanation:

Internal radius = 21 m, External Radius

= 21 + 3.5 = 24.5 m

Area of path = π (24.5)2 - π (21)2

= π [(24.5)2 - (21)2]

= 500.5

Cost of travelling = 500.5 × 4 = 2002

Concept: Miscellaneous (Entrance Exam)
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