A copper wire when bent in the form of a square encloses an area of 121 cm2 If the same wire is bent...........

Quantitative Aptitude (CDS) Mensuration 2D

A copper wire when bent in the form of a square encloses an area of 121 cm2. If the same wire is bent in the form of a circle, it encloses an area equal to

121 cm²

144 cm²

154 cm²

168 cm²

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Explanation:

Area of square be a² and a² = 121 [Given]
So, a = √121 = 11
i.e. side of square be 11 cm
Perimeter of square = 4a
So, perimeter of circle = 44
=> 2 $\small \pi$ r = 44
=> 2 x (22/7) x r = 44
=> r = 44x7/44 = 7
Area of circle = $\small \pi$ r²
=( 22/7) x 7²
= 22 × 7 = 154 cm²