Circle — The radius of a circular field is 25 m. Find its area (use A = πr^2).
Aptitude
Area
Difficulty: Easy
Choose an option
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A125 π sq m
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B625 π sq m
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C25 π sq m
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D135 π sq m
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E525 π sq m
Answer
Correct Answer: 625 π sq m
Explanation
Introduction / Context:The standard area formula for a circle involves squaring the radius and multiplying by π. Keeping π symbolic is common in aptitude questions.
Given Data / Assumptions:
- r = 25 m
Concept / Approach:A = π * r^2.
Step-by-Step Solution:A = π * 25^2 = π * 625 = 625 π sq m
Verification / Alternative check:Units: m^2; magnitude consistent with r^2 = 625.
Why Other Options Are Wrong:125π, 25π, 135π are incorrect because they do not square 25; 525π is a distractor.
Common Pitfalls:Forgetting to square radius; using 2πr (circumference) instead of πr^2.
Final Answer:625 π sq m