The area of a circle is 38.5 square centimeters. Find its circumference (use π = 22/7).

Introduction / Context:
Given the area of a circle, one can find the radius using A = πr^2 and then compute the circumference using C = 2πr. Using π = 22/7 simplifies fractions to manageable numbers.

Given Data / Assumptions:

• A = 38.5 cm^2
• π = 22/7
• Formulas: A = πr^2, C = 2πr

Concept / Approach:
Solve r^2 = A/π, then r = √(A/π). Having r, compute C. Choose the option that exactly matches the computed circumference.

Step-by-Step Solution:
r^2 = 38.5 * (7/22) = 269.5 / 22 = 12.25r = √12.25 = 3.5 cmC = 2πr = 2*(22/7)*3.5 = 2*11 = 22 cm

Verification / Alternative check:
Back-calc area from r = 3.5: A = (22/7)*3.5^2 = (22/7)*12.25 = 38.5 cm^2 — consistent with the given data.

Why Other Options Are Wrong:
6.20 cm and 11 cm are far too small; 121 cm is far too large for a circle of area 38.5 cm^2. Only 22 cm fits the calculations with π = 22/7.

Common Pitfalls:
Using π ≈ 3.14 here would still give a close number, but 22/7 is intended and yields an exact integer circumference of 22 cm in this crafted problem.

Final Answer:
22 cm