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Square S is inscribed in circle T. If the perimeter of S is 24, what is the circumference of T?
A. 6π
B. 12π
C. 3√2*π
D. 6√2*π
E. 12√2*π
A. 6π
B. 12π
C. 3√2*π
D. 6√2*π
E. 12√2*π
18 Jun 2019, 00:14
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Bunuel
The length of side of square = 24/4=6. length of the diagonal of the square = square root 2 * Side = 6*root2. Diagonal of the square must me the diameter of the circle.
So 2*pi*r=6*root2*pi .IMO Option D
Archit3110
18 Jun 2019, 01:48
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Bunuel
perimeter = 24 ; each side is 6 and diagonal = diameter= 6√2
radius ; 3√2
and circumference ; 2*3√2*pi
IMO D; 6√2*π
