A steel wire is bent in the form of a square that encloses an area of 121 sq.cm
The same wire is bent in the form of a circle. Find the area of the circle.
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A steel wire is bent in the form of a square that encloses an area of 121 sq.cm
The same wire is bent in the form of a circle. Find the area of the circle.
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Verified answer
Area of the Square = 121 cm²
Side of Square = Square root of Area
= √(121) cm
= 11 cm
∴ Perimeter of Square = 4 × Side
= (4 × 11) cm
= 44 cm
According to Question,
Perimeter of Square = Circumfernce of Circle
∴ Circumference of Circle = 44 cm
Let's assume the radius as x cm
According to Question,
Circumference of Circle = 44 cm
2Πr = 44 cm 【Π = 22 / 7】
⇒ 2 × 22 / 7 × x = 44
⇒ 44 / 7 × x = 44
⇒ x = 44 × 7 / 44
⇒ x = 7
As, the radius of circle is x cm
Hence, radius of circle is 7 cm
∴ Area of Circle = Πr²
= [ 22 / 7 × 7 × 7 ] cm²
= [ 22 × 7 ] cm²
= 154 cm²
Hence, the area of circle is 154 cm²
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