Length of a side of a square inscribed in a circle is a√2

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Length of a side of a square inscribed in a circle is a√2 units. The circumference of the circle is

1. 2πa units
2. πa units
3. 4πa units
4. 2a units
  π

Correct Option: A

Using Rule 10 and 14,

Side of a square = AB = √2 a units
∴ AC = Diagonal = √2 × √2 a
= 2 a units
= Diameter (d) of circle
∴ Circumference of circle = π × d = π × 2 a = 2π a units