the area of the square that can be inscribed in circle of radius 8cm is ?

Asked by shouvik dutta | 29th Dec, 2013, 08:59: PM

Expert Answer:

When a square is inscribed in a circle, the diagonal of a square must be equal to the diameter of circle.
Let the side of square be s.
Then,
Diagonal of square = V2 a
Thus, we have:
V2 a = 16 cm
a = 16/V2 cm = 8V2 cm
 
Thus, area of the square = (8 V2 cm)2 = 128 cm2

Answered by  | 29th Dec, 2013, 09:46: PM

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