The area of a circle is 220 cm2. The area of ta square inscribed in it is

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KollegeApply · Accepted Answer

$\therefore$ Let BD be the diameter and diagonal of the circle and the square respectively. We know that area of the circle =pir^2 Area of the circle =pir^2 $\therefore$ 220=$\frac{22}{7}$xxr^2 Multiplying both sides of the equation by 7 we get, 220xx7=22xxr^2 Dividing both sides of the equation by 22 we get, $\therefore$ r^2=70 $\therefore$r=sqrt70 As we know that diagonal of the square is the diameter of the square. $\therefore$ "Diagonal"=2r $\therefore$ "Diagonal"=2sqrt70 `$\therefore$ "side of the square"= "diagonal"/sqrt2` ................(1) Substituting Diagonal=2sqrt70 in equation (1) we get, side of the square=(2sqrt70)/2 $\therefore$ side of the square= 2sqrt($\frac{70}{2}$) $\therefore$ side of the square=2sqrt35 $\therefore$ Area of the square="side "^2 =(2sqrt35)^2 =4xx35 = 140 Therefore, area of the square is.140 cm^2 [Solution diagram: 63968_solution_1.png]

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