Circle from circumference 26.4 cm: What is the exact area (in square centimetres) of a circle whose circumference is 26.4 cm?

Introduction / Context:Convert circumference to radius using C = 2πr, then compute the area πr^2. This is a direct formula application with clean decimals.

Given Data / Assumptions:

• C = 26.4 cm.
• Use π = 22/7 for exact fractional handling (common in aptitude questions).

Concept / Approach:r = C / (2π). Then A = πr^2. Carefully handle decimals to avoid rounding errors.

Step-by-Step Solution:

Verification / Alternative check:Compute with C = 2πr → 2 * (22/7) * 4.2 = (44/7) * 4.2 = 26.4, confirming r = 4.2 cm is consistent.

Why Other Options Are Wrong:44.55, 33.44, 44.33, 50.24 do not equal π*(4.2)^2 under the given circumference constraint.

Common Pitfalls:Using C = πd but forgetting d = 2r, or squaring 26.4 accidentally instead of 4.2 when computing area.

Final Answer:55.44