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  1. The area of the greatest circle, which can be inscribed in a square whose perimeter is 120 cm, is :
    1. 22
      × (15)² cm²
      7
    2. 22
      ×
      7
      ²cm²
      72
    3. 22
      ×
      15
      ²cm²
      72
    4. 22
      ×
      9
      ²cm²
      72
Correct Option: A

Using Rule 14,

Side of the square =
120
= 30 cm.
4

Clearly, diameter of the greatest circle = Side of the square = 30 cm
∴ Radius =
30
= 15 cm.
2

Required area = π × (radius)²
=
22
× (15)² cm²
2



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