Rope boundary cost from area of circular ground:\nA circular cricket ground has area 24.64 hectares. Find the cost of laying a rope boundary at Rs 5.40 per metre.

Introduction / Context:
From the area of a circle we can find its radius, then its circumference, which is the boundary length to be roped. Converting hectares to square metres ensures consistent units for the final cost calculation in rupees per metre.

Given Data / Assumptions:

• Area = 24.64 hectares = 24.64 * 10,000 = 246,400 m².
• Use π = 22/7 (yields exact integers here).
• Rate = Rs 5.40 per metre.

Concept / Approach:
Area A = πr² ⇒ r = √(A/π). With π = 22/7, r becomes exact. Boundary length = circumference = 2πr. Cost = (boundary length)*(rate).

Step-by-Step Solution:

Verification / Alternative check:
Using π ≈ 3.14 yields r ≈ 280 and cost ≈ Rs 9,495; the intended exact option with π = 22/7 is Rs 9,504.

Why Other Options Are Wrong:
9,600 and 9,876 overcount; 9,802 is a rounding with a different π assumption.

Common Pitfalls:
Forgetting to convert hectares to m²; mixing radius and diameter in circumference.

Final Answer:
Rs. 9,504