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A circle of radius 8 cm circumscribed a square. The length of the side of the square is:
Question

A circle of radius 8 cm circumscribed a square. The length of the side of the square is:

A.

2√2 cm

B.

6√2 cm

C.

8√2 cm

D.

4√2 cm

Correct option is C

Given:

Radius o Circle = 8 cm

Solution:

Diameter of the circle = 2 × 8 = 16 cm.

Diagonal of the square = √2 a

As we know

If square inscribed in a circle, then

Diagonal of the square = Diameter of the circle

√2 a = 16

 a = 16/√2

 a = 8 √2

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