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(A) Let the side of the square be $a$.Given that the area of the square is $a^2 = 50$.The diagonal of the square $d$ is given by $d = a\sqrt{2}$.Subst

Vedclass · Accepted Answer

$25\, \pi$ $sq$ units

Vedclass · Answer

(A) Let the side of the square be $a$.Given that the area of the square is $a^2 = 50$.The diagonal of the square $d$ is given by $d = a\sqrt{2}$.Substituting $a^2 = 50$,we get $a = \sqrt{50} = 5\sqrt{2}$.Thus,the diagonal $d = (5\sqrt{2}) 	imes \sqrt{2} = 10$ units.The circle is drawn on the diagonal as its diameter,so the diameter of the circle is $10$ units.The radius $r$ of the circle is $d/2 = 10/2 = 5$ units.The area of the circle is $\pi r^2 = \pi (5)^2 = 25\pi$ $sq$ units.

If the area of a square is $50$ $sq$ units,then the area of the circle drawn on its diagonal is

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