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a square is drawn inside a circle so that its vertices touch the circle. if the radius of the circle

Mathematics
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a square is drawn inside a circle so that its vertices touch the circle. if the radius of the circle is 15 cm, what is the perimeter of the square?

Nov 24th, 2014

Diagonal of the square ( D ) = 2 * Radius = 30cm.

Let S be the side of the square.

D ^ 2 = S ^ 2  +  S ^ 2  = 2 * S ^ 2 ( Pythagorus theorem ).

D = S * sqrt ( 2 ) = 30cm

S = [ 30 / sqrt ( 2 ) ] cm

Perimeter = 4 * S = [ 4 * 30 / sqrt ( 2 ) ] cm = 60 * sqrt ( 2 ) cm

Answer : Perimeter of square = 60 * sqrt ( 2 ) cm
Nov 24th, 2014

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Nov 24th, 2014
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Nov 24th, 2014
Dec 10th, 2016
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