Question

A STEEL WIRE WHEN BENT IN THE FORM OF SQUARE ENCLOSES AN AREA OF 121 SQ.CM.IF THE SAME WIRE IS BENT IN TO THE FORM OF A CIRCLE,FIND THE AREA OF THE CIRCLE

Answer 1

Area of a square=a^2
or 121=a^2
.•.a=√121
=11cm
now, perimeter of square=4a
=4×11
=44cm
now, perimeter of square=perimeter of circle
or 44=2πr
or r=44×7/2×22
or r=7 cm

so, Area of circle=πr^2
=22×7×7/7
=154 cm^2 answer

Answer 2

side X side   = 121 cm^{2} [/tex]

SIDE  =  11 cm

4 X SIDE = 44 cm

Perimeter of circle  =  length of wire

length of wire = 44cm

length of wire =  circumference of the circle

 =  44 cm

     = 22cm

r                       =  7cm

area of circle    =  

                        =  154