Question

A COPPER WIRE OF LENGTH 44CM IS TO BE BENT INTO A SQUARE AND A CIRCLE. WHICH WILL HAVE A LARGER AREA

Answer 1

Step-by-step explanation:

Total length of the wire = 44 cm

\the circumference of the circle

2πr = 44 cm

⇒2 x 22/7 x r = 44

⇒ r = (44 x 7)/44 = 7 cm

Now area of square = side x side = 11 x 11 = 121 cm2

Therefore, on comparing, the area of circle is greater than that of square, so the circle enclosed more area.

Answer 2

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Wire of length which is bent = 44cm

Therefore,

Perimeter of = perimeter of circle = 44cm

Let's find side of square by using perimeter =

p = 4 × Side

44 = 4 × Side

Side = 11

Area = Side × Side

Area = 121 cm²

Let's find radius of circle by using perimeter =

p = 2 π r

44 = 2 × 22/7 × r

r = 7 cm

Area = π r²

Area = 22/7 × 7 ×7

Area = 154 cm²

As we got area of square = 121 cm² and area of circle = 154 cm²

So, circle will have larger area

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