If the area of a circle inscribed in a square is 9π cm²,then

Home » Aptitude » Mensuration » Question

If the area of a circle inscribed in a square is 9π cm²,then the area of the square is

1. 24 cm²
2. 30 cm²
3. 36 cm²
4. 81 cm²

Correct Option: C

Using Rule 10 and 14,

∴ Area of the circle = πr² = 9π
⇒ r² = 9
⇒ r = √9 = 3 cm
∴ Side of the square = 2r = 6 cm
∴ Area of the Square = side² = 6 × 6 = 36 cm²