Question

A steel wire when bent in the form of a square encloses an area of 121
2
. If the same wire is bent in the form of a circle, find the area of the
circle

Answer 1

Answer:

9th

Maths

Circles

Definition of Circle

A steel wire, when bent in ...

MATHS

A steel wire, when bent in the form of a square, encloses an area of 121 sq. cm. The same wire is bent in the form of a circle. Find the area of the circle.

EASY

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ANSWER

Side of the square =

area

=

121

=11 cm

Perimeter of the square = 4×side=44 cm

Therefore, length of the wire = 44 cm

We know,

Circumference of the circle = Length of the wire

Therefore, Circumference of the circle = 44 cm

Let the radius of the circle be r cm.

Then, 2πr=44

2×

7

22

×r=44

r=7 cm

Therefore, area of the circle = πr

2

=

7

22

×49=154 cm

2

.

Answer 2

A steel wire when bent in the form of a square encloses an area of 121

2

. If the same wire is bent in the form of a circle, find the area of the

circle