The circumference of two circles is 132, m an | vedclass

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(C) Let the radii of the two circles be $r_1$ and $r_2$ respectively.The circumference of a circle is given by $C = 2\pi r$.For the smaller circle: $2

Vedclass · Accepted Answer

$1078$

Vedclass · Answer

(C) Let the radii of the two circles be $r_1$ and $r_2$ respectively.The circumference of a circle is given by $C = 2\pi r$.For the smaller circle: $2 	imes \frac{22}{7} 	imes r_1 = 132 \Rightarrow r_1 = \frac{132 	imes 7}{44} = 21\, m$.For the larger circle: $2 	imes \frac{22}{7} 	imes r_2 = 176 \Rightarrow r_2 = \frac{176 	imes 7}{44} = 28\, m$.The area of a circle is given by $A = \pi r^2$.Difference in area $= \pi r_2^2 - \pi r_1^2 = \pi(r_2^2 - r_1^2)$.Difference $= \frac{22}{7} 	imes (28^2 - 21^2) = \frac{22}{7} 	imes (28 - 21)(28 + 21)$.Difference $= \frac{22}{7} 	imes 7 	imes 49 = 22 	imes 49 = 1078\, sq\, m$.

The circumference of two circles is $132\, m$ and $176\, m$ respectively. What is the difference between the area of the larger circle and the smaller circle? (in $sq\,m$)

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