Recover circumference from area: If the area of a circle is 616 cm^2, compute its circumference (in centimetres).

Introduction / Context:We invert area = πr^2 to find r, then compute circumference = 2πr. Integer-friendly values arise with π = 22/7.

Given Data / Assumptions:

• Area A = 616 cm^2.
• Use π = 22/7.

Concept / Approach:Find r from r^2 = A/π, then compute C = 2πr.

Step-by-Step Solution:

Verification / Alternative check:Area from r = 14 is (22/7)*14*14 = 22*28 = 616, consistent with the input.

Why Other Options Are Wrong:44 cm and 22 cm are too small; 176 cm is twice the correct value; 110 cm is unrelated to 2πr here.

Common Pitfalls:Forgetting to take the positive square root for r, or mixing up diameter with radius in circumference.

Final Answer:88 cm