Largest inscribed circle in 18 cm × 14 cm rectangle: Find its area (sq. cm).

Introduction / Context:The largest circle that fits in a rectangle has diameter equal to the smaller side.

Given Data / Assumptions:

• Rectangle: 18 cm by 14 cm.
• Circle diameter = 14 cm ⇒ radius r = 7 cm.

Concept / Approach:Area of circle = πr^2. Using π = 22/7 yields a tidy integer.

Step-by-Step Solution:

Verification / Alternative check:With π ≈ 3.14 → 49*3.14 ≈ 153.86 (rounds to 154).

Why Other Options Are Wrong:49 is r^2 without π; 378, 1078 are far from the computed area.

Common Pitfalls:Using the longer side (18 cm) as diameter; the limiting dimension is the shorter side.

Final Answer:154