Question

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

Answer 1

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
$2 \pi r$  =  44 cm
$\pi r$      = 22cm
r                       =  7cm
area of circle    =  $\pi r ^{2}$
                         =  154 $cm^{2}$

REGARDS
PRIYANSH SHUKLA

Answer 2

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