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Shazli took a wire of length 44 cm 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 = 22/7)

Shazli took a wire of length 44 cm 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 = 22/7)

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5964 Points
7 months ago
Dear Student

From the question it is given that,
Length of wire that Shazli took =44 cm
Then,
If the wire is bent into a circle,
We know that, circumference of the circle = 2πr
44 = 2 × (22/7) × r
44 = 44/7 × r
(44 × 7)/44 = r
r = 7 cm
Area of the circle =πr^2
= 22/7 × 7^2
= 22/7 × 7 ×7
= 22 × 7
= 154 cm^2
Now,
If the wire is bent into a square,
The length of the each side of square = 44/4
= 11 cm Area of the square = length of the side of square^2
= 112
= 121 cm^2
By comparing the two areas of the square and circle,
Clearly, circle encloses more area

Thanks

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