Wire reshaped: A circular wire is bent to form a rhombus with side 11 cm (perimeter conserved). Find the diameter of the original circular wire.

Introduction / Context:When a wire is reshaped, length (perimeter) remains constant. We convert between a circle’s circumference and a rhombus’ perimeter.

Given Data / Assumptions:

• Rhombus side = 11 cm → Perimeter = 4 * 11 = 44 cm
• Same length becomes circle circumference
• Use π = 22/7 unless stated

Concept / Approach:Circumference C = π * d. With C known (44 cm), solve for diameter d.

Step-by-Step Solution:

Verification / Alternative check:Radius r = 7 cm. Circumference 2πr = 2 * 22/7 * 7 = 44 cm, matches the wire length.

Why Other Options Are Wrong:28 cm is twice the correct diameter; 7 cm is the radius; 3.5 cm is quarter of the diameter; 22 cm is unrelated here.

Common Pitfalls:Using 2πr formula but substituting d for r or forgetting perimeter equality during shape change.

Final Answer:14 cm