A copper wire when bent in the form of a square encloses an area of 484 cm². When the same wire is bent in the form of a circle, find the area of the circle formed.
Area Trapezium Polygon
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Question

A copper wire when bent in the form of a square encloses an area of 484 cm². When the same wire is bent in the form of a circle, find the area of the circle formed.

KnowledgeBoat · Accepted Answer

Given: Area of the square = 484 cm² Let s be the side of the square. As we know, the area of the square = side² ⇒ s² = 484 ⇒ s = ⇒ s = 22 cm Total length of the wire = Perimeter of the square As we know, the perimeter of the square = 4 x side = 4 x 22 = 88 cm Perimeter of the square = Circumference of the circle Let r be the radius of the circle. ⇒ 2πr = 88 cm Area of the circle = πr² Hence, the area of the circle is 616 cm².

Mathematics

A copper wire when bent in the form of a square encloses an area of 484 cm². When the same wire is bent in the form of a circle, find the area of the circle formed.

Area Trapezium Polygon

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Mathematics

A copper wire when bent in the form of a square encloses an area of 484 cm2. When the same wire is bent in the form of a circle, find the area of the circle formed.

Area Trapezium Polygon

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A copper wire when bent in the form of a square encloses an area of 484 cm². When the same wire is bent in the form of a circle, find the area of the circle formed.

Find the circumference of a circle whose area is 1386 cm².