Question

A metal wire when bent in the form of a square of largest area, emcloses an area of 484 cm2. Find the length of the wire and if the same wire is bent to form a circle find the radius of the circle formed

Answer 1

Heya !

Here's your answer !!

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GIVEN THAT :

A metal wire is bent into a square

Area of the square = 484 cm^2

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TO FIND :

Length of the metal wire

Radius of the circle formed by benting the same metal wire

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SOLUTION :

Area of Square = Side × Side

=> s^2 = 484

=> s = $\sqrt{484}$

=> s = 22 cm

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Each side of the square measures 22 cm

Total length = Perimeter of square

=> 22 × 4

=> 88 cm ANS

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Circumference of the circle = 88 cm

Circumference = 2 × 22/7 × r

=> 2 × 22/7 × r = 88

=> r = 88 × 7/44

=> r = 2 × 7

=> Radius = 14 cm ANS

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Thanks !!

Answer 2

Heyy mate❤✌✌❤

Area of the square =484 cm2

So each of its sides will be a=14√area=22cm

So its perimeter =4×22==88cm

The circle formed by bending the same wire will have same perimeter 88cm. If the circle has got radius r then

2πr=88

⇒r=882π

=88×72×22
=14cm
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