Question

a copper wire when bent in the form of a square encloses an area of 121 cm if the same wire is bent into the form of a circle find the area of circle

Answer 1

Area of square= 121 sq cm
Side= √121= 11cm
Length of wire= 11×4=44cm
Circumference=44
2πr=44
πr=22
r=7
Radius 7cm
Area = 22/7×7×7= 154 sq cm(ANS)

Answer 2

area of square =
${a}^{2}$
so 121 =a ×a
so,a=11


and perimeter =4×a=44


also perimeter of square =perimeter of circle
so 44=2×pie×radius
22=(22÷7)× radius
7= radius



and area =pie × radius×radius
= (22÷7) ×7×7
=22×7
=154 cm square.

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THANK YOU.