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What is the perimeter of a square circumscribing a circle of radius a cm...
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Answer 1

Heya☺

When a circle circumscribe a square the length of side of square is equal to the diameter of circle .

I.e . Perimeter = 4r
Perimeter = 4× 2a = 8a
( where a is the radius of circle )
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Answer 2

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When a square circumscribes a circle, the radius of the circle is equal to half the length of one side of a square. Therefore if the radius of the circumscribed is a, diameter will be 2a.

And, diameter of the circumscribed circle = length of a side of square

Side = 2a

So, Perimeter = 4 × side
= 4 × 2a
= 8a cm