Length of rope from grazing area of a cow\nA cow grazes a circular region of area 2826 m². Find the required rope length (radius) in metres (use π ≈ 3.14).

Difficulty: Easy

Correct Answer: 30 m

Explanation:


Introduction / Context:
Converting a given circular area to radius is a standard application of A = πr^2, widely used in practical geometry and land measurement problems.


Given Data / Assumptions:

  • Area A = 2826 m^2
  • π ≈ 3.14


Concept / Approach:
Radius r = sqrt(A/π). The rope length equals this radius.


Step-by-Step Solution:

r^2 = 2826 / 3.14 = 900 r = sqrt(900) = 30 m


Verification / Alternative check:
Check area with r = 30: A = 3.14 * 900 = 2826 m^2, matching perfectly.


Why Other Options Are Wrong:
15 m, 24 m, and 36 m would yield areas not equal to 2826 m^2 with π = 3.14.


Common Pitfalls:
Using circumference formula instead of area or mishandling the square root step are frequent mistakes.


Final Answer:
30 m

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