Question

Between a square of perimeter 44 cm and a circle of circumference 44 cm , which figure has larger area and by  how much  ?


Options:
A .  Both have equal area
B .  Square , 33`cm^2`
C .  Circle , 33`cm^2`
D .  Square ,495 `cm^2`
Answer: Option C

Side of the square = `44/4 ` cm  = 11 cm

Area of the square = (11 x 11) `cm^2` =  121 `cm^2`

`2 pi R = 44`

`2 xx 22/7 xx R =  44`

`hArr     R = 7 cm`

Area of circle = ` pi R^2  = (22/7 xx 7 xx 7)  cm^2 =  154  cm^2`

`:.`      Area of circle is larger by 33 `cm^2`



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