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?
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
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