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