Find area of the square, whose vertices lies on the circle of radius 20 cm.
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Answer:
if the square lies on circle of radius 20 cm the side of square will be 20cm
area of square=side^2
=20^2
=400cm^2
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SINCE THE SQUARE IS INCCRIBED IN A CIRCLE SO ITS DIAGONAL = CIRCLE'S RADIUS
SO, DIAGONAL = 20 cm .
NOW , SINCE , DIAGONAL = √2 SIDE OF SQUARE
So, SIDE = 20 / √2 = 10√2 cm
SO AREA OF SQUARE = SIDE² =( 10√2 )² = 200 cm²
THANKS....
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