Q. 26 C3.8( 8 Votes )

The numerical value of perimeter and area of a circular field is equal. The length of diagonal of square circumscribe by a circle isA. 4 unitB. 2 unitC. 4√2 unitD. 2√2 unit

Given that the perimeter and area of a circular field are equal.

We know that circumference of the circle = 2πr

Also, the area of a circle = πr2

According to the question,

2πr = πr2

r = 2 units

For a square inscribing the circle,

Diagonal of the square = diameter of the circle

Diagonal of the circle = 2r = 4 units

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