A wire when bent in the form of a square encloses an area of 484 CM ^2 (square)
if the same wire is bent in the form of a circle ,find the area of the circle ?
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Answer:
Area of the square
=
484cm
2
∴ Side of the square
=
484
=
22cm
⇒ Perimeter of the square
=
4×
22=
88cm
∵(Circumference of the circle)
=
(perimeter of the square)
⇒ 2πr= 88
⇒ 2×
7
22
× r= 88
∴ r=
2 × 2 2
8 8 × 7
=
14cm
∴Area of the circle
=
πr
2
=
7
22
×
14×
14cm
2
=
616cm
2
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