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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 - Mathematics

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प्रश्न

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 `pi = 22/7`)

योग

उत्तर

Circumference = `2pir` = 44 cm

`2 xx 22/7xx r = 44`

r = 7 cm

Area = `pir^2`

= `22/7xx 7 xx 7`

= 154 cm2

If the wire is bent into a square, then the length of each side would be = `44/4`

= 11 cm

area of square = (11)2

= 121 cm2

As 154 > 121

Therefore, circle encloses more area. 

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अध्याय 11: Perimeter and Area - Exercise 11.3 [पृष्ठ २२३]

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एनसीईआरटी Mathematics [English] Class 7
अध्याय 11 Perimeter and Area
Exercise 11.3 | Q 9 | पृष्ठ २२३

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