Question

Priyanka took a wire of length 44cm and bent it into the shape of a circle.Find the radius of that circle. Also find its area. If the same wire is bent into the shape of square,what will be the length of each of its sides? Which figure encloses more area, the circle or the square?

$\bigg( \sf\pi \: as \: \dfrac{22}{7} \bigg)$​

Answer 1

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Priyanka took a wire of length 44cm and bent it into the shape of a circle. Find the radius of that circle. Also find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle or the square? (Take π=

7

22

)

Answer

Open in answr app

Given, Total length of the wire=44cm

∴ The circumference of the circle=2πr=44cm

⇒2× 7/22 ×r=44

⇒r= 2×22/44×7 =7cm

Now, Area of the circle=πr

2 = 7/22 ×7×7=154cm

2

Now the wire is converted into square,

Then perimeter of square=44cm

⇒4× side=44

⇒ side= 4/44 =11cm

Now, area of square=side×side=11×11=121cm

2

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

Answer 2

Priyanka took a wire of length 44cm and bent it into the shape of a circle. Find the radius of that circle. Also find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle or the square? (Take π=

7

22

)

Given, Total length of the wire=44cm

∴ The circumference of the circle=2πr=44cm

⇒2× 7/22 ×r=44

⇒r= 2×22/44×7 =7cm

Now, Area of the circle=πr

2 = 7/22 ×7×7=154cm

2

Now the wire is converted into square,

Then perimeter of square=44cm

⇒4× side=44

⇒ side= 4/44 =11cm

Now, area of square=side×side=11×11=121cm

2

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