Question

Rajesh bent steel wire,in the form of square , encloses area 121 cm×cm .The wire is bent in the form circle.Find area of circle?

Answer 1

area of square = a*a
121. =a * a
side = 11
perimeter =11*4=44cm
circumference of circle ==44 cm
radius = 7cm
area of circle = 154 cm* cm

Answer 2

Given :
Area of Square = 121 cm ×cm

To find :
Area of Circle

As, the steel wire used is the same , then the perimeter of Square and the circle are also same.
we can say,
Perimeter of Sq. = Perimeter of Circle

area of Square = s×s
S× S = 121 cm x cm
Clearly, S = 11 cm
perimeter of Square = 4 x S
4 x 11 = 44 cm

We know that the perimeter of Sq. and circle is 44 cm

perimeter of Circle = 2 π r
2 π r = 44
r = (44×7)/(22×2)
r = 7 cm

Area of Circle = πr^2
22/7 × 7 × 7
= 154 cm x cm


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