A steel wire when bent in the form of a square encloses an area of 121 cm. If the same wire is bent in the form of a circle, find the area of the circle.
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It's wrong answer
Answer is 154 cm
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Area of Square = side^2
side = 11cm
length of wire = 4*side =4*11 =44cm
if it bend in the form of a circle, the length of wire is same as the circumference of circle
Circumference = 2*pi*r
44 = 2*22/7*r
r = 44/2 * 7/22 = 7 cm
Area of circle = pi*(r)^2
= 22/7 * (7)^2 = 22*7 = 154 cm^2
side = 11cm
length of wire = 4*side =4*11 =44cm
if it bend in the form of a circle, the length of wire is same as the circumference of circle
Circumference = 2*pi*r
44 = 2*22/7*r
r = 44/2 * 7/22 = 7 cm
Area of circle = pi*(r)^2
= 22/7 * (7)^2 = 22*7 = 154 cm^2
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