What is the area of the largest circle that can be drawn inside a square of side 14 cm? (Take \(\pi=\frac{22}{7}\))
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 154 cm2
The largest circle inside a square touches all four sides, so its diameter equals the side of the square.
Diameter \(=14\) cm, so radius \(=7\) cm
Area \(\displaystyle =\frac{22}{7}\times7\times7=154\) cm2
Why the other options are incorrect
Option (1) 616 cm2 — Incorrect. This uses the side 14 cm as the radius; that circle is far bigger than the square.
Option (2) 88 cm2 — Incorrect. This is \(\frac{22}{7}\times28\), the circumference of a radius-14 circle, not an area.
Option (3) 784 cm2 — Incorrect. This is more than the area of the square itself (196 cm2), so no circle inside it can have it.