A copper wire when bent in the form of a square encloses an area of 272.25 cm². If the same wire is bent into the form of circle, what will be the area enclosed by the wire?
Mensuration
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Question

A copper wire when bent in the form of a square encloses an area of 272.25 cm2. If the same wire is bent into the form of circle, what will be the area enclosed by the wire?

KnowledgeBoat · Accepted Answer

By formula, Area of square = (side)2 Given, Area of square = 272.25 cm2. ∴ (side)2 = 272.25 ⇒ side = ⇒ side = 16.5 cm. Perimeter of square = 4 × side = 4 × 16.5 = 66 cm. Circumference of circle of same wire = Perimeter of square of same wire. Let radius of circle be r cm. By formula, Area of circle = πr2 = × (10.5)2 = × 10.5 × 10.5 = 22 × 1.5 × 10.5 = 346.5 cm2. Hence, area enclosed by the wire in the form of a circle = 346.5 cm2.

Mathematics

A copper wire when bent in the form of a square encloses an area of 272.25 cm². If the same wire is bent into the form of circle, what will be the area enclosed by the wire?

Mensuration

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