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

1.	51.A steel wire when bent in the form of a square encloses an area of 146.41 cm². If thesame wire is bent in the form of a circle, find the area of the circle.
Answer» 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 . Step-by-step EXPLANATION:

51.A steel wire when bent in the form of a square encloses an area of 146.41 cm². If thesame wire is bent in the form of a circle, find the area of the circle.

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×

×r=44

r=7 cm

Therefore, area of the circle = πr

×49=154 cm

Step-by-step EXPLANATION: