Circle — The radius of a circular field is 25 m. Find its area (use A = πr^2).

Difficulty: Easy

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

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