The area of a circle is 220 text{ cm}^2. The | vedclass

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(C) Given the area of the circle is $\pi r^2 = 220 	ext{ cm}^2$.Using $\pi = \frac{22}{7}$,we have $\frac{22}{7} 	imes r^2 = 220$.$r^2 = \frac{220 \

Vedclass · Accepted Answer

$140$

Vedclass · Answer

(C) Given the area of the circle is $\pi r^2 = 220 	ext{ cm}^2$.Using $\pi = \frac{22}{7}$,we have $\frac{22}{7} 	imes r^2 = 220$.$r^2 = \frac{220 	imes 7}{22} = 70$.Thus,$r = \sqrt{70} 	ext{ cm}$.The diagonal of a square inscribed in a circle is equal to the diameter of the circle.Diameter $d = 2r = 2\sqrt{70} 	ext{ cm}$.Let the side of the square be $a$. The diagonal of the square is $a\sqrt{2}$.So,$a\sqrt{2} = 2\sqrt{70}$.$a = \frac{2\sqrt{70}}{\sqrt{2}} = 2\sqrt{35}$.The area of the square is $a^2 = (2\sqrt{35})^2 = 4 	imes 35 = 140 	ext{ cm}^2$.

The area of a circle is $220 \text{ cm}^2$. The area of a square inscribed in this circle will be (in $\text{cm}^2$):

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