Find circumference from area of a circle\nThe area of a circle is 24.64 m². Compute its circumference (take π ≈ 3.14).

Difficulty: Easy

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 m


Verification / 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

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