The area of a circle whose radius is the diagonal of a square

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The area of a circle whose radius is the diagonal of a square whose area is 4 sq. units is :

1. 16π sq. units
2. 4π sq. units
3. 6π sq. units
4. 8π sq. units

Correct Option: D

Using Rule 10,
Side of square = √4
= 2 units Diagonal of square = 2√2 units
= radius of the circle
× Area of circle = πr²
= π × (2√2)²
= 8π sq. units.