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 is
A. 4 unit

B. 2 unit

C. 4√2 unit

D. 2√2 unit

Answer :

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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