Find circumference from area of a circle The area of a circle is 24.64 m². Compute its circumference (take π ≈ 3.14).
Aptitude
Area
Difficulty: Easy
Choose an option
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A14.64 m
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B16.36 m
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C17.60 m
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D18.40 m
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ENone of these
Answer
Correct Answer: 17.60 m
Explanation
Introduction / Context:Converting between a circle’s area and circumference requires finding the radius from area and then applying the circumference formula.
Given Data / Assumptions:
- Area A = 24.64 m^2
- π ≈ 3.14
Concept / Approach:Area A = πr^2 ⇒ r = sqrt(A/π). Circumference C = 2πr.
Step-by-Step Solution:
r = sqrt(24.64 / 3.14) ≈ sqrt(7.8481) ≈ 2.801 m C = 2 * 3.14 * 2.801 ≈ 17.57 m ≈ 17.60 mVerification / Alternative check:Using π = 22/7 gives a close value; rounding will still land near 17.6 m, consistent with the option set.
Why Other Options Are Wrong:14.64 m, 16.36 m, and 18.40 m do not match the computed circumference from the given area.
Common Pitfalls:Skipping the square root stage or mixing up the formulas for area and circumference can cause major errors.
Final Answer:17.60 m