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